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GCF of 962/25, 957/256

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 962/25, 957/256 i.e 1/6400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/25, 957/256.

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 962/25,957/256?

Given fractions are 962/25,957/256

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 962/25,957/256, numerators are 962,957

Denominators are 25,256

The GCF of 962,957 is 1 .

LCM of 25,256 is 6400.

The greatest common factor of 962/25,957/256 = [GCF of 962,957]/[LCM of 25,256]= 1/6400

Therefore, the GCF of 962/25,957/256 is 1/6400.

Greatest Common Factor of 962,957

To find the highest common factor of 962,957, we have to find the factors of both numbers and list the highest common factor.

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The HCF of 962,957 is 1.

Lets's calculate GCF of 962,957

Greatest Common Factor (GCF) of 962,957 By Common Division

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

Greatest Common Factor of 962,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,957 By Matching Biggest Common Factor Method

Now, list down the factors of 962

:

1,2,13,26,37,74,481,962

Now, list down the factors of 957

:

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 962,957 . The biggest common factor number is the GCF number.
So the greatest common factor 962,957 is 1.

Lets's calculate LCM of 25,256

Lowest Common Multiple of 25,256 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6400

Therefore, the GCF of Fractions 962/25,957/256 is 1/6400

Least Common Multiple of 25,256 with GCF Formula

Least Common Multiple of 25,256 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 25,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,256) = 1

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

GCF(25,256) x common factors =1 x 1 = 1

LCM(25,256) = ( 25 × 256 ) / 1

LCM(25,256) = 6400 / 1

LCM(25,256) = 6400


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FAQs on GCF of Fractions of 962/25, 957/256

1. What is the HCF of 962,957?

The HCF of 962,957 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 962/25, 957/256?

Answer: GCF of Numerators as per given numbers 962/25, 957/256 is

GCF of Numerators i.e. for 962,957 is 1

LCM of denominators i.e. for 25,256 is 6400.

Thus, GCF of Fractions is 1/6400.Finally, GCF of Fractions for 962/25, 957/256 is 1/6400.