Greatest Common Factor of 2755/237, 6335/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2755/237, 6335/107

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 2755/237,6335/107

Given fractions are 2755/237,6335/107

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 2755,6335

Greatest Common Factor of Numerators i.e. GCF of 2755,6335 is 5 .

LCM of Denominators means LCM of 237,107 as per the given fractions.

LCM of 237,107 is 25359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2755,6335

GCF of Fractions 2755/237,6335/107 is 5/25359

5 2755, 6335
551, 1267

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

Greatest Common Factor of 2755,6335 By Matching Biggest Common Factor Method

Greatest Common Factor of 2755,6335 By Matching Biggest Common Factor Method

Factors of 2755

List of positive integer factors of 2755 that divides 2755 without a remainder.

1,5,19,29,95,145,551,2755

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1,5,7,35,181,905,1267,6335

Greatest Common Factor

We found the factors 2755,6335 . The biggest common factor number is the GCF number.
So the greatest common factor 2755,6335 is 5.

Lets's calculate LCM of 237,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 25359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25359

Therefore, the GCF of Fractions 2755/237,6335/107 is 5/25359

Least Common Multiple of 237,107 with GCF Formula

Least Common Multiple of 237,107 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 237,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,107) = 1

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

GCF(237,107) x common factors =1 x 1 = 1

LCM(237,107) = ( 237 × 107 ) / 1

LCM(237,107) = 25359 / 1

LCM(237,107) = 25359


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 2755/237, 6335/107

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 2755/237, 6335/107?

Answer: GCF of Numerators as per given numbers 2755/237, 6335/107 is

GCF of Numerators i.e. for 2755,6335 is 5

LCM of denominators i.e. for 237,107 is 25359.

Thus, GCF of Fractions is 5/25359.Finally, GCF of Fractions for 2755/237, 6335/107 is 5/25359.