Greatest Common Factor of 979/12, 264/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 979/12, 264/421

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 979/12,264/421

Given fractions are 979/12,264/421

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 979,264

Greatest Common Factor of Numerators i.e. GCF of 979,264 is 11 .

LCM of Denominators means LCM of 12,421 as per the given fractions.

LCM of 12,421 is 5052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 979,264

GCF of Fractions 979/12,264/421 is 11/5052

11 979, 264
89, 24

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 979,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,264 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 979,264 . The biggest common factor number is the GCF number.
So the greatest common factor 979,264 is 11.

Lets's calculate LCM of 12,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 5052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5052

Therefore, the GCF of Fractions 979/12,264/421 is 11/5052

Least Common Multiple of 12,421 with GCF Formula

Least Common Multiple of 12,421 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 12,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,421) = 1

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

GCF(12,421) x common factors =1 x 1 = 1

LCM(12,421) = ( 12 × 421 ) / 1

LCM(12,421) = 5052 / 1

LCM(12,421) = 5052


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 979/12, 264/421

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 979/12, 264/421?

Answer: GCF of Numerators as per given numbers 979/12, 264/421 is

GCF of Numerators i.e. for 979,264 is 11

LCM of denominators i.e. for 12,421 is 5052.

Thus, GCF of Fractions is 11/5052.Finally, GCF of Fractions for 979/12, 264/421 is 11/5052.