Greatest Common Factor of 979/752, 506/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 979/752, 506/664

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 979/752,506/664

Given fractions are 979/752,506/664

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 979,506

Greatest Common Factor of Numerators i.e. GCF of 979,506 is 11 .

LCM of Denominators means LCM of 752,664 as per the given fractions.

LCM of 752,664 is 62416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 979,506

GCF of Fractions 979/752,506/664 is 11/62416

11 979, 506
89, 46

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

Greatest Common Factor of 979,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,506 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 979,506 . The biggest common factor number is the GCF number.
So the greatest common factor 979,506 is 11.

Lets's calculate LCM of 752,664

2 752, 664
2 376, 332
2 188, 166
94, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 83 = 62416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/62416

Therefore, the GCF of Fractions 979/752,506/664 is 11/62416

Least Common Multiple of 752,664 with GCF Formula

Least Common Multiple of 752,664 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 752,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,664) = 8

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

GCF(752,664) x common factors =8 x 1 = 8

LCM(752,664) = ( 752 × 664 ) / 8

LCM(752,664) = 499328 / 8

LCM(752,664) = 62416


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 979/752, 506/664

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 979/752, 506/664?

Answer: GCF of Numerators as per given numbers 979/752, 506/664 is

GCF of Numerators i.e. for 979,506 is 11

LCM of denominators i.e. for 752,664 is 62416.

Thus, GCF of Fractions is 11/62416.Finally, GCF of Fractions for 979/752, 506/664 is 11/62416.