Greatest Common Factor of 962/78, 968/7378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/78, 968/7378

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 962/78,968/7378

Given fractions are 962/78,968/7378

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 962,968

Greatest Common Factor of Numerators i.e. GCF of 962,968 is 2 .

LCM of Denominators means LCM of 78,7378 as per the given fractions.

LCM of 78,7378 is 287742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,968

GCF of Fractions 962/78,968/7378 is 2/287742

2 962, 968
481, 484

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 962,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,968 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

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

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 962,968 . The biggest common factor number is the GCF number.
So the greatest common factor 962,968 is 2.

Lets's calculate LCM of 78,7378

2 78, 7378
39, 3689

∴ So the LCM of the given numbers is 2 x 39 x 3689 = 287742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/287742

Therefore, the GCF of Fractions 962/78,968/7378 is 2/287742

Least Common Multiple of 78,7378 with GCF Formula

Least Common Multiple of 78,7378 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 78,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7378) = 2

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

GCF(78,7378) x common factors =2 x 1 = 2

LCM(78,7378) = ( 78 × 7378 ) / 2

LCM(78,7378) = 575484 / 2

LCM(78,7378) = 287742


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 962/78, 968/7378

1. 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.

2. What is the GCF of Fractions for 962/78, 968/7378?

Answer: GCF of Numerators as per given numbers 962/78, 968/7378 is

GCF of Numerators i.e. for 962,968 is 2

LCM of denominators i.e. for 78,7378 is 287742.

Thus, GCF of Fractions is 2/287742.Finally, GCF of Fractions for 962/78, 968/7378 is 2/287742.