Greatest Common Factor of 5975/378, 5911/6009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5975/378, 5911/6009

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 5975/378,5911/6009

Given fractions are 5975/378,5911/6009

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 5975,5911

Greatest Common Factor of Numerators i.e. GCF of 5975,5911 is 1 .

LCM of Denominators means LCM of 378,6009 as per the given fractions.

LCM of 378,6009 is 757134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5975,5911

GCF of Fractions 5975/378,5911/6009 is 1/757134

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5975,5911 By Matching Biggest Common Factor Method

Greatest Common Factor of 5975,5911 By Matching Biggest Common Factor Method

Factors of 5975

List of positive integer factors of 5975 that divides 5975 without a remainder.

1,5,25,239,1195,5975

Factors of 5911

List of positive integer factors of 5911 that divides 5911 without a remainder.

1,23,257,5911

Greatest Common Factor

We found the factors 5975,5911 . The biggest common factor number is the GCF number.
So the greatest common factor 5975,5911 is 1.

Lets's calculate LCM of 378,6009

3 378, 6009
126, 2003

∴ So the LCM of the given numbers is 3 x 126 x 2003 = 757134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/757134

Therefore, the GCF of Fractions 5975/378,5911/6009 is 1/757134

Least Common Multiple of 378,6009 with GCF Formula

Least Common Multiple of 378,6009 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 378,6009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,6009) = 3

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

GCF(378,6009) x common factors =3 x 1 = 3

LCM(378,6009) = ( 378 × 6009 ) / 3

LCM(378,6009) = 2271402 / 3

LCM(378,6009) = 757134


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 5975/378, 5911/6009

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 5975/378, 5911/6009?

Answer: GCF of Numerators as per given numbers 5975/378, 5911/6009 is

GCF of Numerators i.e. for 5975,5911 is 1

LCM of denominators i.e. for 378,6009 is 757134.

Thus, GCF of Fractions is 1/757134.Finally, GCF of Fractions for 5975/378, 5911/6009 is 1/757134.