Greatest Common Factor of 6325/267, 5962/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6325/267, 5962/251

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 6325/267,5962/251

Given fractions are 6325/267,5962/251

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 6325,5962

Greatest Common Factor of Numerators i.e. GCF of 6325,5962 is 11 .

LCM of Denominators means LCM of 267,251 as per the given fractions.

LCM of 267,251 is 67017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6325,5962

GCF of Fractions 6325/267,5962/251 is 11/67017

11 6325, 5962
575, 542

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6325,5962 By Matching Biggest Common Factor Method

Greatest Common Factor of 6325,5962 By Matching Biggest Common Factor Method

Factors of 6325

List of positive integer factors of 6325 that divides 6325 without a remainder.

1,5,11,23,25,55,115,253,275,575,1265,6325

Factors of 5962

List of positive integer factors of 5962 that divides 5962 without a remainder.

1,2,11,22,271,542,2981,5962

Greatest Common Factor

We found the factors 6325,5962 . The biggest common factor number is the GCF number.
So the greatest common factor 6325,5962 is 11.

Lets's calculate LCM of 267,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 67017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/67017

Therefore, the GCF of Fractions 6325/267,5962/251 is 11/67017

Least Common Multiple of 267,251 with GCF Formula

Least Common Multiple of 267,251 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 267,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,251) = 1

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

GCF(267,251) x common factors =1 x 1 = 1

LCM(267,251) = ( 267 × 251 ) / 1

LCM(267,251) = 67017 / 1

LCM(267,251) = 67017


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 6325/267, 5962/251

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 6325/267, 5962/251?

Answer: GCF of Numerators as per given numbers 6325/267, 5962/251 is

GCF of Numerators i.e. for 6325,5962 is 11

LCM of denominators i.e. for 267,251 is 67017.

Thus, GCF of Fractions is 11/67017.Finally, GCF of Fractions for 6325/267, 5962/251 is 11/67017.