Greatest Common Factor of 2325/682, 9115/7491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2325/682, 9115/7491

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 2325/682,9115/7491

Given fractions are 2325/682,9115/7491

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 2325,9115

Greatest Common Factor of Numerators i.e. GCF of 2325,9115 is 5 .

LCM of Denominators means LCM of 682,7491 as per the given fractions.

LCM of 682,7491 is 464442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2325,9115

GCF of Fractions 2325/682,9115/7491 is 5/464442

5 2325, 9115
465, 1823

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2325,9115 By Matching Biggest Common Factor Method

Greatest Common Factor of 2325,9115 By Matching Biggest Common Factor Method

Factors of 2325

List of positive integer factors of 2325 that divides 2325 without a remainder.

1,3,5,15,25,31,75,93,155,465,775,2325

Factors of 9115

List of positive integer factors of 9115 that divides 9115 without a remainder.

1,5,1823,9115

Greatest Common Factor

We found the factors 2325,9115 . The biggest common factor number is the GCF number.
So the greatest common factor 2325,9115 is 5.

Lets's calculate LCM of 682,7491

11 682, 7491
62, 681

∴ So the LCM of the given numbers is 11 x 62 x 681 = 464442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/464442

Therefore, the GCF of Fractions 2325/682,9115/7491 is 5/464442

Least Common Multiple of 682,7491 with GCF Formula

Least Common Multiple of 682,7491 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 682,7491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,7491) = 11

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

GCF(682,7491) x common factors =11 x 1 = 11

LCM(682,7491) = ( 682 × 7491 ) / 11

LCM(682,7491) = 5108862 / 11

LCM(682,7491) = 464442


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 2325/682, 9115/7491

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 2325/682, 9115/7491?

Answer: GCF of Numerators as per given numbers 2325/682, 9115/7491 is

GCF of Numerators i.e. for 2325,9115 is 5

LCM of denominators i.e. for 682,7491 is 464442.

Thus, GCF of Fractions is 5/464442.Finally, GCF of Fractions for 2325/682, 9115/7491 is 5/464442.