Greatest Common Factor of 8067/31, 2538/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8067/31, 2538/316

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 8067/31,2538/316

Given fractions are 8067/31,2538/316

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 8067,2538

Greatest Common Factor of Numerators i.e. GCF of 8067,2538 is 3 .

LCM of Denominators means LCM of 31,316 as per the given fractions.

LCM of 31,316 is 9796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8067,2538

GCF of Fractions 8067/31,2538/316 is 3/9796

3 8067, 2538
2689, 846

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

Greatest Common Factor of 8067,2538 By Matching Biggest Common Factor Method

Greatest Common Factor of 8067,2538 By Matching Biggest Common Factor Method

Factors of 8067

List of positive integer factors of 8067 that divides 8067 without a remainder.

1,3,2689,8067

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538

Greatest Common Factor

We found the factors 8067,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 8067,2538 is 3.

Lets's calculate LCM of 31,316

Given numbers has no common factors except 1. So, there LCM is their product i.e 9796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9796

Therefore, the GCF of Fractions 8067/31,2538/316 is 3/9796

Least Common Multiple of 31,316 with GCF Formula

Least Common Multiple of 31,316 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 31,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,316) = 1

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

GCF(31,316) x common factors =1 x 1 = 1

LCM(31,316) = ( 31 × 316 ) / 1

LCM(31,316) = 9796 / 1

LCM(31,316) = 9796


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 8067/31, 2538/316

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 8067/31, 2538/316?

Answer: GCF of Numerators as per given numbers 8067/31, 2538/316 is

GCF of Numerators i.e. for 8067,2538 is 3

LCM of denominators i.e. for 31,316 is 9796.

Thus, GCF of Fractions is 3/9796.Finally, GCF of Fractions for 8067/31, 2538/316 is 3/9796.