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GCF of 953/256, 232/272

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 953/256, 232/272 i.e 1/4352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 953/256, 232/272.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 953/256,232/272?

Given fractions are 953/256,232/272

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 953/256,232/272, numerators are 953,232

Denominators are 256,272

The GCF of 953,232 is 1 .

LCM of 256,272 is 4352.

The greatest common factor of 953/256,232/272 = [GCF of 953,232]/[LCM of 256,272]= 1/4352

Therefore, the GCF of 953/256,232/272 is 1/4352.

Greatest Common Factor of 953,232

To find the highest common factor of 953,232, we have to find the factors of both numbers and list the highest common factor.

The factors of 953 are 1, 953

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The HCF of 953,232 is 1.

Lets's calculate GCF of 953,232

Greatest Common Factor (GCF) of 953,232 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 953,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,232 By Matching Biggest Common Factor Method

Now, list down the factors of 953

:

1,953

Now, list down the factors of 232

:

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 953,232 . The biggest common factor number is the GCF number.
So the greatest common factor 953,232 is 1.

Lets's calculate LCM of 256,272

Lowest Common Multiple of 256,272 using Common Division

2 256, 272
2 128, 136
2 64, 68
2 32, 34
16, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 16 x 17 = 4352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4352

Therefore, the GCF of Fractions 953/256,232/272 is 1/4352

Least Common Multiple of 256,272 with GCF Formula

Least Common Multiple of 256,272 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 256,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,272) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(256,272) x common factors =16 x 1 = 16

LCM(256,272) = ( 256 × 272 ) / 16

LCM(256,272) = 69632 / 16

LCM(256,272) = 4352


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FAQs on GCF of Fractions of 953/256, 232/272

1. What is the HCF of 953,232?

The HCF of 953,232 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 953/256, 232/272?

Answer: GCF of Numerators as per given numbers 953/256, 232/272 is

GCF of Numerators i.e. for 953,232 is 1

LCM of denominators i.e. for 256,272 is 4352.

Thus, GCF of Fractions is 1/4352.Finally, GCF of Fractions for 953/256, 232/272 is 1/4352.