Greatest Common Factor of 7512/868, 8457/9931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7512/868, 8457/9931

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 7512/868,8457/9931

Given fractions are 7512/868,8457/9931

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 7512,8457

Greatest Common Factor of Numerators i.e. GCF of 7512,8457 is 3 .

LCM of Denominators means LCM of 868,9931 as per the given fractions.

LCM of 868,9931 is 8620108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7512,8457

GCF of Fractions 7512/868,8457/9931 is 3/8620108

3 7512, 8457
2504, 2819

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

Greatest Common Factor of 7512,8457 By Matching Biggest Common Factor Method

Greatest Common Factor of 7512,8457 By Matching Biggest Common Factor Method

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512

Factors of 8457

List of positive integer factors of 8457 that divides 8457 without a remainder.

1,3,2819,8457

Greatest Common Factor

We found the factors 7512,8457 . The biggest common factor number is the GCF number.
So the greatest common factor 7512,8457 is 3.

Lets's calculate LCM of 868,9931

Given numbers has no common factors except 1. So, there LCM is their product i.e 8620108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8620108

Therefore, the GCF of Fractions 7512/868,8457/9931 is 3/8620108

Least Common Multiple of 868,9931 with GCF Formula

Least Common Multiple of 868,9931 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 868,9931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,9931) = 1

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

GCF(868,9931) x common factors =1 x 1 = 1

LCM(868,9931) = ( 868 × 9931 ) / 1

LCM(868,9931) = 8620108 / 1

LCM(868,9931) = 8620108


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 7512/868, 8457/9931

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 7512/868, 8457/9931?

Answer: GCF of Numerators as per given numbers 7512/868, 8457/9931 is

GCF of Numerators i.e. for 7512,8457 is 3

LCM of denominators i.e. for 868,9931 is 8620108.

Thus, GCF of Fractions is 3/8620108.Finally, GCF of Fractions for 7512/868, 8457/9931 is 3/8620108.