Greatest Common Factor of 2470/971, 7371/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2470/971, 7371/3920

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 2470/971,7371/3920

Given fractions are 2470/971,7371/3920

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 2470,7371

Greatest Common Factor of Numerators i.e. GCF of 2470,7371 is 13 .

LCM of Denominators means LCM of 971,3920 as per the given fractions.

LCM of 971,3920 is 3806320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2470,7371

GCF of Fractions 2470/971,7371/3920 is 13/3806320

13 2470, 7371
190, 567

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2470,7371 By Matching Biggest Common Factor Method

Greatest Common Factor of 2470,7371 By Matching Biggest Common Factor Method

Factors of 2470

List of positive integer factors of 2470 that divides 2470 without a remainder.

1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470

Factors of 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371

Greatest Common Factor

We found the factors 2470,7371 . The biggest common factor number is the GCF number.
So the greatest common factor 2470,7371 is 13.

Lets's calculate LCM of 971,3920

Given numbers has no common factors except 1. So, there LCM is their product i.e 3806320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3806320

Therefore, the GCF of Fractions 2470/971,7371/3920 is 13/3806320

Least Common Multiple of 971,3920 with GCF Formula

Least Common Multiple of 971,3920 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 971,3920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,3920) = 1

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

GCF(971,3920) x common factors =1 x 1 = 1

LCM(971,3920) = ( 971 × 3920 ) / 1

LCM(971,3920) = 3806320 / 1

LCM(971,3920) = 3806320


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 2470/971, 7371/3920

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 2470/971, 7371/3920?

Answer: GCF of Numerators as per given numbers 2470/971, 7371/3920 is

GCF of Numerators i.e. for 2470,7371 is 13

LCM of denominators i.e. for 971,3920 is 3806320.

Thus, GCF of Fractions is 13/3806320.Finally, GCF of Fractions for 2470/971, 7371/3920 is 13/3806320.