Greatest Common Factor of 968/21, 8704/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/21, 8704/980

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 968/21,8704/980

Given fractions are 968/21,8704/980

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 968,8704

Greatest Common Factor of Numerators i.e. GCF of 968,8704 is 8 .

LCM of Denominators means LCM of 21,980 as per the given fractions.

LCM of 21,980 is 2940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,8704

GCF of Fractions 968/21,8704/980 is 8/2940

2 968, 8704
2 484, 4352
2 242, 2176
121, 1088

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

Greatest Common Factor of 968,8704 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,8704 By Matching Biggest Common Factor Method

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

Factors of 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Greatest Common Factor

We found the factors 968,8704 . The biggest common factor number is the GCF number.
So the greatest common factor 968,8704 is 8.

Lets's calculate LCM of 21,980

7 21, 980
3, 140

∴ So the LCM of the given numbers is 7 x 3 x 140 = 2940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2940

Therefore, the GCF of Fractions 968/21,8704/980 is 8/2940

Least Common Multiple of 21,980 with GCF Formula

Least Common Multiple of 21,980 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 21,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,980) = 7

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

GCF(21,980) x common factors =7 x 1 = 7

LCM(21,980) = ( 21 × 980 ) / 7

LCM(21,980) = 20580 / 7

LCM(21,980) = 2940


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 968/21, 8704/980

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 968/21, 8704/980?

Answer: GCF of Numerators as per given numbers 968/21, 8704/980 is

GCF of Numerators i.e. for 968,8704 is 8

LCM of denominators i.e. for 21,980 is 2940.

Thus, GCF of Fractions is 8/2940.Finally, GCF of Fractions for 968/21, 8704/980 is 8/2940.