Greatest Common Factor of 644/375, 2408/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/375, 2408/567

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 644/375,2408/567

Given fractions are 644/375,2408/567

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 644,2408

Greatest Common Factor of Numerators i.e. GCF of 644,2408 is 28 .

LCM of Denominators means LCM of 375,567 as per the given fractions.

LCM of 375,567 is 70875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,2408

GCF of Fractions 644/375,2408/567 is 28/70875

2 644, 2408
2 322, 1204
7 161, 602
23, 86

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 644,2408 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,2408 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408

Greatest Common Factor

We found the factors 644,2408 . The biggest common factor number is the GCF number.
So the greatest common factor 644,2408 is 28.

Lets's calculate LCM of 375,567

3 375, 567
125, 189

∴ So the LCM of the given numbers is 3 x 125 x 189 = 70875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/70875

Therefore, the GCF of Fractions 644/375,2408/567 is 28/70875

Least Common Multiple of 375,567 with GCF Formula

Least Common Multiple of 375,567 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 375,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,567) = 3

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

GCF(375,567) x common factors =3 x 1 = 3

LCM(375,567) = ( 375 × 567 ) / 3

LCM(375,567) = 212625 / 3

LCM(375,567) = 70875


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 644/375, 2408/567

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 644/375, 2408/567?

Answer: GCF of Numerators as per given numbers 644/375, 2408/567 is

GCF of Numerators i.e. for 644,2408 is 28

LCM of denominators i.e. for 375,567 is 70875.

Thus, GCF of Fractions is 28/70875.Finally, GCF of Fractions for 644/375, 2408/567 is 28/70875.