Greatest Common Factor of 981/564, 7866/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/564, 7866/818

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 981/564,7866/818

Given fractions are 981/564,7866/818

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 981,7866

Greatest Common Factor of Numerators i.e. GCF of 981,7866 is 9 .

LCM of Denominators means LCM of 564,818 as per the given fractions.

LCM of 564,818 is 230676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,7866

GCF of Fractions 981/564,7866/818 is 9/230676

3 981, 7866
3 327, 2622
109, 874

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 981,7866 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,7866 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866

Greatest Common Factor

We found the factors 981,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 981,7866 is 9.

Lets's calculate LCM of 564,818

2 564, 818
282, 409

∴ So the LCM of the given numbers is 2 x 282 x 409 = 230676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/230676

Therefore, the GCF of Fractions 981/564,7866/818 is 9/230676

Least Common Multiple of 564,818 with GCF Formula

Least Common Multiple of 564,818 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 564,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,818) = 2

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

GCF(564,818) x common factors =2 x 1 = 2

LCM(564,818) = ( 564 × 818 ) / 2

LCM(564,818) = 461352 / 2

LCM(564,818) = 230676


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 981/564, 7866/818

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 981/564, 7866/818?

Answer: GCF of Numerators as per given numbers 981/564, 7866/818 is

GCF of Numerators i.e. for 981,7866 is 9

LCM of denominators i.e. for 564,818 is 230676.

Thus, GCF of Fractions is 9/230676.Finally, GCF of Fractions for 981/564, 7866/818 is 9/230676.