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GCF of 962/960, 296/976

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 962/960, 296/976 i.e 74/58560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/960, 296/976.

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 962/960,296/976?

Given fractions are 962/960,296/976

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 962/960,296/976, numerators are 962,296

Denominators are 960,976

The GCF of 962,296 is 74 .

LCM of 960,976 is 58560.

The greatest common factor of 962/960,296/976 = [GCF of 962,296]/[LCM of 960,976]= 74/58560

Therefore, the GCF of 962/960,296/976 is 74/58560.

Greatest Common Factor of 962,296

To find the highest common factor of 962,296, 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 296 are 1, 2, 4, 8, 37, 74, 148, 296

The HCF of 962,296 is 74.

Lets's calculate GCF of 962,296

Greatest Common Factor (GCF) of 962,296 By Common Division

2 962, 296
37 481, 148
13, 4

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 962,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,296 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 296

:

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 962,296 . The biggest common factor number is the GCF number.
So the greatest common factor 962,296 is 74.

Lets's calculate LCM of 960,976

Lowest Common Multiple of 960,976 using Common Division

2 960, 976
2 480, 488
2 240, 244
2 120, 122
60, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 60 x 61 = 58560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/58560

Therefore, the GCF of Fractions 962/960,296/976 is 74/58560

Least Common Multiple of 960,976 with GCF Formula

Least Common Multiple of 960,976 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 960,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,976) = 16

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

GCF(960,976) x common factors =16 x 1 = 16

LCM(960,976) = ( 960 × 976 ) / 16

LCM(960,976) = 936960 / 16

LCM(960,976) = 58560


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FAQs on GCF of Fractions of 962/960, 296/976

1. What is the HCF of 962,296?

The HCF of 962,296 is 74

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 962/960, 296/976?

Answer: GCF of Numerators as per given numbers 962/960, 296/976 is

GCF of Numerators i.e. for 962,296 is 74

LCM of denominators i.e. for 960,976 is 58560.

Thus, GCF of Fractions is 74/58560.Finally, GCF of Fractions for 962/960, 296/976 is 74/58560.