Greatest Common Factor of 7063/756, 8775/2940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7063/756, 8775/2940

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 7063/756,8775/2940

Given fractions are 7063/756,8775/2940

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 7063,8775

Greatest Common Factor of Numerators i.e. GCF of 7063,8775 is 1 .

LCM of Denominators means LCM of 756,2940 as per the given fractions.

LCM of 756,2940 is 26460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7063,8775

GCF of Fractions 7063/756,8775/2940 is 1/26460

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7063,8775 By Matching Biggest Common Factor Method

Greatest Common Factor of 7063,8775 By Matching Biggest Common Factor Method

Factors of 7063

List of positive integer factors of 7063 that divides 7063 without a remainder.

1,7,1009,7063

Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775

Greatest Common Factor

We found the factors 7063,8775 . The biggest common factor number is the GCF number.
So the greatest common factor 7063,8775 is 1.

Lets's calculate LCM of 756,2940

2 756, 2940
2 378, 1470
3 189, 735
7 63, 245
9, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 35 = 26460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26460

Therefore, the GCF of Fractions 7063/756,8775/2940 is 1/26460

Least Common Multiple of 756,2940 with GCF Formula

Least Common Multiple of 756,2940 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 756,2940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,2940) = 84

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

GCF(756,2940) x common factors =84 x 1 = 84

LCM(756,2940) = ( 756 × 2940 ) / 84

LCM(756,2940) = 2222640 / 84

LCM(756,2940) = 26460


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 7063/756, 8775/2940

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 7063/756, 8775/2940?

Answer: GCF of Numerators as per given numbers 7063/756, 8775/2940 is

GCF of Numerators i.e. for 7063,8775 is 1

LCM of denominators i.e. for 756,2940 is 26460.

Thus, GCF of Fractions is 1/26460.Finally, GCF of Fractions for 7063/756, 8775/2940 is 1/26460.