Greatest Common Factor of 992/972, 8680/5866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 992/972, 8680/5866

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 992/972,8680/5866

Given fractions are 992/972,8680/5866

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 992,8680

Greatest Common Factor of Numerators i.e. GCF of 992,8680 is 248 .

LCM of Denominators means LCM of 972,5866 as per the given fractions.

LCM of 972,5866 is 2850876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 992,8680

GCF of Fractions 992/972,8680/5866 is 248/2850876

2 992, 8680
2 496, 4340
2 248, 2170
31 124, 1085
4, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 x 31 = 248

Greatest Common Factor of 992,8680 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,8680 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Greatest Common Factor

We found the factors 992,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 992,8680 is 248.

Lets's calculate LCM of 972,5866

2 972, 5866
486, 2933

∴ So the LCM of the given numbers is 2 x 486 x 2933 = 2850876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 248/2850876

Therefore, the GCF of Fractions 992/972,8680/5866 is 248/2850876

Least Common Multiple of 972,5866 with GCF Formula

Least Common Multiple of 972,5866 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 972,5866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,5866) = 2

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

GCF(972,5866) x common factors =2 x 1 = 2

LCM(972,5866) = ( 972 × 5866 ) / 2

LCM(972,5866) = 5701752 / 2

LCM(972,5866) = 2850876


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 992/972, 8680/5866

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 992/972, 8680/5866?

Answer: GCF of Numerators as per given numbers 992/972, 8680/5866 is

GCF of Numerators i.e. for 992,8680 is 248

LCM of denominators i.e. for 972,5866 is 2850876.

Thus, GCF of Fractions is 248/2850876.Finally, GCF of Fractions for 992/972, 8680/5866 is 248/2850876.