Greatest Common Factor of 3891/502, 8538/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3891/502, 8538/932

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 3891/502,8538/932

Given fractions are 3891/502,8538/932

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 3891,8538

Greatest Common Factor of Numerators i.e. GCF of 3891,8538 is 3 .

LCM of Denominators means LCM of 502,932 as per the given fractions.

LCM of 502,932 is 233932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3891,8538

GCF of Fractions 3891/502,8538/932 is 3/233932

3 3891, 8538
1297, 2846

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

Greatest Common Factor of 3891,8538 By Matching Biggest Common Factor Method

Greatest Common Factor of 3891,8538 By Matching Biggest Common Factor Method

Factors of 3891

List of positive integer factors of 3891 that divides 3891 without a remainder.

1,3,1297,3891

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Greatest Common Factor

We found the factors 3891,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 3891,8538 is 3.

Lets's calculate LCM of 502,932

2 502, 932
251, 466

∴ So the LCM of the given numbers is 2 x 251 x 466 = 233932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/233932

Therefore, the GCF of Fractions 3891/502,8538/932 is 3/233932

Least Common Multiple of 502,932 with GCF Formula

Least Common Multiple of 502,932 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 502,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,932) = 2

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

GCF(502,932) x common factors =2 x 1 = 2

LCM(502,932) = ( 502 × 932 ) / 2

LCM(502,932) = 467864 / 2

LCM(502,932) = 233932


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 3891/502, 8538/932

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 3891/502, 8538/932?

Answer: GCF of Numerators as per given numbers 3891/502, 8538/932 is

GCF of Numerators i.e. for 3891,8538 is 3

LCM of denominators i.e. for 502,932 is 233932.

Thus, GCF of Fractions is 3/233932.Finally, GCF of Fractions for 3891/502, 8538/932 is 3/233932.