Greatest Common Factor of 265/292, 3975/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/292, 3975/627

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 265/292,3975/627

Given fractions are 265/292,3975/627

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 265,3975

Greatest Common Factor of Numerators i.e. GCF of 265,3975 is 265 .

LCM of Denominators means LCM of 292,627 as per the given fractions.

LCM of 292,627 is 183084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,3975

GCF of Fractions 265/292,3975/627 is 265/183084

5 265, 3975
53 53, 795
1, 15

∴ So the GCF of the given numbers is 5 x 53 = 265

Greatest Common Factor of 265,3975 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,3975 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Greatest Common Factor

We found the factors 265,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 265,3975 is 265.

Lets's calculate LCM of 292,627

Given numbers has no common factors except 1. So, there LCM is their product i.e 183084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 265/183084

Therefore, the GCF of Fractions 265/292,3975/627 is 265/183084

Least Common Multiple of 292,627 with GCF Formula

Least Common Multiple of 292,627 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 292,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,627) = 1

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

GCF(292,627) x common factors =1 x 1 = 1

LCM(292,627) = ( 292 × 627 ) / 1

LCM(292,627) = 183084 / 1

LCM(292,627) = 183084


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 265/292, 3975/627

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 265/292, 3975/627?

Answer: GCF of Numerators as per given numbers 265/292, 3975/627 is

GCF of Numerators i.e. for 265,3975 is 265

LCM of denominators i.e. for 292,627 is 183084.

Thus, GCF of Fractions is 265/183084.Finally, GCF of Fractions for 265/292, 3975/627 is 265/183084.