Greatest Common Factor of 2971/344, 9135/6012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2971/344, 9135/6012

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 2971/344,9135/6012

Given fractions are 2971/344,9135/6012

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 2971,9135

Greatest Common Factor of Numerators i.e. GCF of 2971,9135 is 1 .

LCM of Denominators means LCM of 344,6012 as per the given fractions.

LCM of 344,6012 is 517032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2971,9135

GCF of Fractions 2971/344,9135/6012 is 1/517032

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

Greatest Common Factor of 2971,9135 By Matching Biggest Common Factor Method

Greatest Common Factor of 2971,9135 By Matching Biggest Common Factor Method

Factors of 2971

List of positive integer factors of 2971 that divides 2971 without a remainder.

1,2971

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Greatest Common Factor

We found the factors 2971,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 2971,9135 is 1.

Lets's calculate LCM of 344,6012

2 344, 6012
2 172, 3006
86, 1503

∴ So the LCM of the given numbers is 2 x 2 x 86 x 1503 = 517032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517032

Therefore, the GCF of Fractions 2971/344,9135/6012 is 1/517032

Least Common Multiple of 344,6012 with GCF Formula

Least Common Multiple of 344,6012 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 344,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,6012) = 4

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

GCF(344,6012) x common factors =4 x 1 = 4

LCM(344,6012) = ( 344 × 6012 ) / 4

LCM(344,6012) = 2068128 / 4

LCM(344,6012) = 517032


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 2971/344, 9135/6012

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 2971/344, 9135/6012?

Answer: GCF of Numerators as per given numbers 2971/344, 9135/6012 is

GCF of Numerators i.e. for 2971,9135 is 1

LCM of denominators i.e. for 344,6012 is 517032.

Thus, GCF of Fractions is 1/517032.Finally, GCF of Fractions for 2971/344, 9135/6012 is 1/517032.