Greatest Common Factor of 2634/268, 5379/6515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2634/268, 5379/6515

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 2634/268,5379/6515

Given fractions are 2634/268,5379/6515

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 2634,5379

Greatest Common Factor of Numerators i.e. GCF of 2634,5379 is 3 .

LCM of Denominators means LCM of 268,6515 as per the given fractions.

LCM of 268,6515 is 1746020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2634,5379

GCF of Fractions 2634/268,5379/6515 is 3/1746020

3 2634, 5379
878, 1793

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

Greatest Common Factor of 2634,5379 By Matching Biggest Common Factor Method

Greatest Common Factor of 2634,5379 By Matching Biggest Common Factor Method

Factors of 2634

List of positive integer factors of 2634 that divides 2634 without a remainder.

1,2,3,6,439,878,1317,2634

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1,3,11,33,163,489,1793,5379

Greatest Common Factor

We found the factors 2634,5379 . The biggest common factor number is the GCF number.
So the greatest common factor 2634,5379 is 3.

Lets's calculate LCM of 268,6515

Given numbers has no common factors except 1. So, there LCM is their product i.e 1746020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1746020

Therefore, the GCF of Fractions 2634/268,5379/6515 is 3/1746020

Least Common Multiple of 268,6515 with GCF Formula

Least Common Multiple of 268,6515 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 268,6515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,6515) = 1

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

GCF(268,6515) x common factors =1 x 1 = 1

LCM(268,6515) = ( 268 × 6515 ) / 1

LCM(268,6515) = 1746020 / 1

LCM(268,6515) = 1746020


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 2634/268, 5379/6515

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 2634/268, 5379/6515?

Answer: GCF of Numerators as per given numbers 2634/268, 5379/6515 is

GCF of Numerators i.e. for 2634,5379 is 3

LCM of denominators i.e. for 268,6515 is 1746020.

Thus, GCF of Fractions is 3/1746020.Finally, GCF of Fractions for 2634/268, 5379/6515 is 3/1746020.