Greatest Common Factor of 6960/77, 9896/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6960/77, 9896/358

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 6960/77,9896/358

Given fractions are 6960/77,9896/358

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 6960,9896

Greatest Common Factor of Numerators i.e. GCF of 6960,9896 is 8 .

LCM of Denominators means LCM of 77,358 as per the given fractions.

LCM of 77,358 is 27566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6960,9896

GCF of Fractions 6960/77,9896/358 is 8/27566

2 6960, 9896
2 3480, 4948
2 1740, 2474
870, 1237

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6960,9896 By Matching Biggest Common Factor Method

Greatest Common Factor of 6960,9896 By Matching Biggest Common Factor Method

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960

Factors of 9896

List of positive integer factors of 9896 that divides 9896 without a remainder.

1,2,4,8,1237,2474,4948,9896

Greatest Common Factor

We found the factors 6960,9896 . The biggest common factor number is the GCF number.
So the greatest common factor 6960,9896 is 8.

Lets's calculate LCM of 77,358

Given numbers has no common factors except 1. So, there LCM is their product i.e 27566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/27566

Therefore, the GCF of Fractions 6960/77,9896/358 is 8/27566

Least Common Multiple of 77,358 with GCF Formula

Least Common Multiple of 77,358 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 77,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,358) = 1

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

GCF(77,358) x common factors =1 x 1 = 1

LCM(77,358) = ( 77 × 358 ) / 1

LCM(77,358) = 27566 / 1

LCM(77,358) = 27566


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 6960/77, 9896/358

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 6960/77, 9896/358?

Answer: GCF of Numerators as per given numbers 6960/77, 9896/358 is

GCF of Numerators i.e. for 6960,9896 is 8

LCM of denominators i.e. for 77,358 is 27566.

Thus, GCF of Fractions is 8/27566.Finally, GCF of Fractions for 6960/77, 9896/358 is 8/27566.