Greatest Common Factor of 8763/56, 1126/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8763/56, 1126/742

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 8763/56,1126/742

Given fractions are 8763/56,1126/742

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 8763,1126

Greatest Common Factor of Numerators i.e. GCF of 8763,1126 is 1 .

LCM of Denominators means LCM of 56,742 as per the given fractions.

LCM of 56,742 is 2968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8763,1126

GCF of Fractions 8763/56,1126/742 is 1/2968

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

Greatest Common Factor of 8763,1126 By Matching Biggest Common Factor Method

Greatest Common Factor of 8763,1126 By Matching Biggest Common Factor Method

Factors of 8763

List of positive integer factors of 8763 that divides 8763 without a remainder.

1,3,23,69,127,381,2921,8763

Factors of 1126

List of positive integer factors of 1126 that divides 1126 without a remainder.

1,2,563,1126

Greatest Common Factor

We found the factors 8763,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 8763,1126 is 1.

Lets's calculate LCM of 56,742

2 56, 742
7 28, 371
4, 53

∴ So the LCM of the given numbers is 2 x 7 x 4 x 53 = 2968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2968

Therefore, the GCF of Fractions 8763/56,1126/742 is 1/2968

Least Common Multiple of 56,742 with GCF Formula

Least Common Multiple of 56,742 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 56,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,742) = 14

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

GCF(56,742) x common factors =14 x 1 = 14

LCM(56,742) = ( 56 × 742 ) / 14

LCM(56,742) = 41552 / 14

LCM(56,742) = 2968


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 8763/56, 1126/742

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 8763/56, 1126/742?

Answer: GCF of Numerators as per given numbers 8763/56, 1126/742 is

GCF of Numerators i.e. for 8763,1126 is 1

LCM of denominators i.e. for 56,742 is 2968.

Thus, GCF of Fractions is 1/2968.Finally, GCF of Fractions for 8763/56, 1126/742 is 1/2968.