Find the HCF of 126 and 420

Answers

Answer 1

Answer:

42

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

Answer 2

The highest common factor HCF of 126 and 420 is 42

What is HCF and LCM?

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF of the two numbers be represented as n

The value of n is

Let the first number be p = 126

Let the second number be q = 420

The factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 , 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420

So , the highest common factor of the two numbers 126 and 420 is 42

Therefore , the value of n = 42

Hence , the HCF is 42

To learn more about LCM and HCF click :

https://brainly.com/question/20049151?

#SPJ2


Related Questions

I don’t know the answer to this but what is f(x)=-0.5x+27? Can someone help me out please?

Answers

f(X)=-0.5x+27 is a linear function that has -0.5 as the slope nad 27 as the y intercept

Answer: f(x) = 26.5

-_-

A square wrestling mat has a side length of (4x - 1) feet.
Which expression represents the area of the mat?

Answers

Answer:

[tex](4x-1)^2[/tex]

Step-by-step explanation:

Area of a square = [tex]l^2[/tex]

If l = [tex](4x - 1)[/tex],

Then area = [tex](4x - 1)^2[/tex]

HOPE THIS HELPS

Evaluate 11.3v + 10.7w when v=7 and w=8

Answers

Answer:

164.7

Step-by-step explanation:

So if v= 7 and w=8, then the problem would become - 11.3 x 7 plus 10.7 x 8.

simplified, this would be 79.1 + 85.6, so add that and you should get 164.7

Monica deposits $300 into a savings account that pays a simple interest rate of 4.2% paul deposits $400 into a savings account that pays a simple interest rate of 3.8% monica says that she will earn more interest in 1 year because her interest rate is higher is she correct?

Answers

Answer:

Paul earned $2.6 more interest than Monica.

Step-by-step explanation:

Giving the following information:

Monica:

Initial investment= $300

Interest rate= 4.2%

Paul:

Initial investment= $400

Interest rate= 3.8%

To calculate the income earned, we need to use the following formula:

I= P*r*t

P= principal

r= interest rate

t= time

Monica:

I= 300*0.042*1= $12.6

Paul:

I= 400*0.038*1= $15.2

Paul earned $2.6 more interest than Monica.

Can someone help me and do a step by step answer? I’d appreciate it a lot and I’ll give you brainlist

Answers

Answer:

y =  1/2x + 4 1/2

Step-by-step explanation:

(9 , 9) (3 , 6)

slope (m) = Rise (Δy) /run (Δx) = (9-6) / (9-3) = 3/6 = 1/2

(y-6)/(x-3) = 1/2

y-6 = 1/2 (x-3) = 1/2x - 3/2

y = 1/2x + 9/2 = 1/2x + 4 1/2

find the value of given expression

=》
[tex] \sqrt[3]{343} \times \sqrt{1} [/tex]

Answers

Step-by-step explanation:

The answer will be 7 I hope this help you

Which shows the expression below in simplified form?
(9.1 x 10-4)-(1.6 x 10-7)

A.9.084 x 10-5

В.9.084 x 10-4

C.9.0984 x 10-4

D.9.09984 x 10-4

Answers

Answer:

[tex]9.0984*10^{-4}[/tex] Answer C

Step-by-step explanation:

The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

Answers

Answer:

Step-by-step explanation:

profit=S.P.-C.P=80-50=30

Profit or percentage markup=30/50×100=60%

60% would be the correct answer.

Help me ASAP!!!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

C is the only option that represents the inequality 2x - 6 ≥ 6(x - 2) + 8.

In which of the following situations would finding the surface area of an object be the most applicable?

Answers

Hi, you've asked an incomplete question. However, I provided a brief explanation about surface areas.

Explanation:

Surface area is a term commonly used in mathematics, and other branches of science, and it basically refers to a calculation of the total space that an object occupies.

For example, you can find the surface areas of a cuboid using the formula:

[tex]6s^{2}[/tex] where s= side length.

Find the value of x (show work)

Answers

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

help meplease i give 5 star

Answers

these are exterior angles. these are congruent and angle x is 85

NEED HELP ASAP! 15pts​

Answers

Answer:

B

Step-by-step explanation:

sorry if im wrong

It’s D. Have a nice rest of your day!

Help me with this please

Answers

Answer: (17 , 5)

18 + 16 / 2 = 17

0 + 10 / 2 = 5

Answer:

Step-by-step explanation:

F = (18, 0 )  as ( x1 , y1)

G = (16 , 10) as (x2, y2 )

mid = (x1+x2) / 2 ,( y1 + y2) / 2

mid = (18+16)/2 , (0+10)/2

mid = 34/2 , 10 /2

mid =( 17, 5)

Using the variable n for the term, describe the sequence.

Answers

Answer:

3 + 5n

Step-by-step explanation:

This is an arithmetic sequence.

First term = a = 8

Common difference = d =Second term - first term

                                = 13 - 8

                                 = 5

Nth term = a + (n- 1)*d

              = 8 + (n -1) * 5

             = 8 + n*5 - 1 *5

              = 8 + 5n - 5

               = 8 - 5 + 5n

                = 3 + 5n

Emma bought a hat for $20. Emma increases the price by 25%. What is the price of the hat now?

Answers

Answer:

its $25

Step-by-step explanation:

Answer:

The hat is 25$ now

Step-by-step explanation:

25% of 20 is 5

5 + 20 = 25

im just begin lazy ok

Answers

Answer:

I am  being lazy too

Step-by-step explanation:

81 x 1 = 81

81 x 2 = 162

81 x 3 = 243

81 x 4 = 324

81 x 5 = 405

81 x 6 = 486

81 x 7 = 567

81 x 8 = 648

81 x 9 = 729

81 x 10 = 810

81 x 11 = 891

81 x 12 = 972

81 x 13 = 1053

81 x 14 = 1134

81 x 15 = 1215

81 x 16 = 1296

81 x 17 = 1377

81 x 18 = 1458

81 x 19 = 1539

81 x 20 = 1620

81 x 21 = 1701

81 x 22 = 1782

81 x 23 = 1863

81 x 24 = 1944

81 x 25 = 2025

81 x 26 = 2106

81 x 27 = 2187

81 x 28 = 2268

81 x 29 = 2349

81 x 30 = 2430

81 x 31 = 2511

81 x 32 = 2592

81 x 33 = 2673

81 x 34 = 2754

81 x 35 = 2835

81 x 36 = 2916

81 x 37 = 2997

81 x 38 = 3078

81 x 39 = 3159

81 x 40 = 3240

81 x 41 = 3321

81 x 42 = 3402

81 x 43 = 3483

81 x 44 = 3564

81 x 45 = 3645

81 x 46 = 3726

81 x 47 = 3807

81 x 48 = 3888

81 x 49 = 3969

81 x 50 = 4050

I Need Help Please!! (Geometry)

Answers

Answer:

3. 58°

4. 64°

5. 180°

Step-by-step explanation:

not completely sure bout number 5 but I think it's 180

3. 58
4. 64
5. 16 cm

Here’s what I could come up with

Independent practice question x/8-1/2=-7/2

Answers

You need to put more of the question for me to understand

Answer:

x = -24

Step-by-step explanation:

If you are to solve for x then multiply everything by 2 so

[tex]\frac{2x}{8}[/tex] - 1 = -7 now multiply everything by 8 to get rid of the fraction

2x - 8 = -56, solve for x so 2x = -48 so x = -24

A fair dice has 6 sides numbered 1 to 6. After it is rolled, 5 of the numbers can be seen. What is the probability that one of these numbers is a 3

Answers

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

Out of those 5 sides, we need to be able to see a 3 from a 6 sided dice.

The total will always be your demoninator and since we was looking at sides, we just need a side that has a 3.

algebra x = 3, y=2x and z=3y , whats z?​

Answers

The answer is Z=18. 2x3=6 then 3x6=18

find the mean of the data set below 2,2,3,5,7,8

someone answer asap​

Answers

4.5! Add all the numbers then divide by how many numbers there are.

Just number 12 will mark brainly

Answers

C. 1/6 becuase there are six numbers you could possibly land on and it is facing one side up.

Answer:

1/6 becuase there are six numbers you could possibly land on and it is facing one side up.

Step-by-step explanation:

never disobay my math skills

Which is the slope of the line with equation 7x−3y=21?


A) 3/7

B) -3/7

C) 7/3

D) -7/3

Answers

That’s the answer I hope this helps

what is the height of the tree?​

Answers

Answer:

I would say 36 sorry i im wrong.

Step-by-step explanation:

100 points! Mhanifa please help. Look at the picture attached. I will mark brainliest!

Answers

Answer: BC = 54  <kjm=44

Step-by-step explanation:

1st 0ne-

if you look at it as 2 triangles with D being the shared side- I can determine that the angles are congruent (by SSA theorem)

so

6x=9x-27  (by corresponding parts of congruent Theorem)

-3x=-27

x=9

BC- 9(9)-27= 81-27=54

2nd one-

J bisects KJM

4x+6=3x+10

x=4

3(4)+10= 22

4(4)+6= 22

KJM= 22+22= 44

Answer:

Step-by-step explanation:

BD is the perpendicular disector of isosceles triangle DAC

AB=BC

6x=9x-27

3x=27

x=9

BC=9x-27=54

For triangle JKL and JML,

KL=ML

JL=JL

JK=JM from properties of right-angled triangle

So triangle JKL and JML are congruent

<KJL = <MJL

4x+6=3x+10

x=4

<KJL=4*4+6=22

Someone help and please make sure it’s right

Answers

Answer:

50 would be the correct response.

Step-by-step explanation:

The two interior angles are the sum of the exterior angle. 50 + 50 is 100, so 50 would be correct.

4. In ADEF, ZE is a right angle. If the side opposite ZD has a length of 17 and the length of the hypotenuse
is 26, which of the following is the value of ZD to the nearest degree?
(1) 33°
(3) 490
(2) 41°
(4) 57°

Answers

the answer would be 2, 41° i think

what's the value of given expression

[tex] \sqrt{33 \times 3 + 1} [/tex]

Answers

I believe it’s 10

Explanation : Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Determine if the two triangles are congruent. If they are, state how you know. SAS , ASA, AAS, SSS or HL

Answers

Step-by-step explanation:

1. SAS

2. SSS

3. RHS

4. SAS

5. RHS

6. SAS

7. ASA

8. SAS

9. ASA

10. SSS

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