Greatest Common Factor of 8090/81, 2714/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8090/81, 2714/760

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 8090/81,2714/760

Given fractions are 8090/81,2714/760

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 8090,2714

Greatest Common Factor of Numerators i.e. GCF of 8090,2714 is 2 .

LCM of Denominators means LCM of 81,760 as per the given fractions.

LCM of 81,760 is 61560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8090,2714

GCF of Fractions 8090/81,2714/760 is 2/61560

2 8090, 2714
4045, 1357

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8090,2714 By Matching Biggest Common Factor Method

Greatest Common Factor of 8090,2714 By Matching Biggest Common Factor Method

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Greatest Common Factor

We found the factors 8090,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,2714 is 2.

Lets's calculate LCM of 81,760

Given numbers has no common factors except 1. So, there LCM is their product i.e 61560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61560

Therefore, the GCF of Fractions 8090/81,2714/760 is 2/61560

Least Common Multiple of 81,760 with GCF Formula

Least Common Multiple of 81,760 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 81,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,760) = 1

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

GCF(81,760) x common factors =1 x 1 = 1

LCM(81,760) = ( 81 × 760 ) / 1

LCM(81,760) = 61560 / 1

LCM(81,760) = 61560


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 8090/81, 2714/760

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 8090/81, 2714/760?

Answer: GCF of Numerators as per given numbers 8090/81, 2714/760 is

GCF of Numerators i.e. for 8090,2714 is 2

LCM of denominators i.e. for 81,760 is 61560.

Thus, GCF of Fractions is 2/61560.Finally, GCF of Fractions for 8090/81, 2714/760 is 2/61560.