Greatest Common Factor of 4640/348, 7540/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4640/348, 7540/643

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 4640/348,7540/643

Given fractions are 4640/348,7540/643

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 4640,7540

Greatest Common Factor of Numerators i.e. GCF of 4640,7540 is 580 .

LCM of Denominators means LCM of 348,643 as per the given fractions.

LCM of 348,643 is 223764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4640,7540

GCF of Fractions 4640/348,7540/643 is 580/223764

2 4640, 7540
2 2320, 3770
5 1160, 1885
29 232, 377
8, 13

∴ So the GCF of the given numbers is 2 x 2 x 5 x 29 = 580

Greatest Common Factor of 4640,7540 By Matching Biggest Common Factor Method

Greatest Common Factor of 4640,7540 By Matching Biggest Common Factor Method

Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640

Factors of 7540

List of positive integer factors of 7540 that divides 7540 without a remainder.

1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540

Greatest Common Factor

We found the factors 4640,7540 . The biggest common factor number is the GCF number.
So the greatest common factor 4640,7540 is 580.

Lets's calculate LCM of 348,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 223764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 580/223764

Therefore, the GCF of Fractions 4640/348,7540/643 is 580/223764

Least Common Multiple of 348,643 with GCF Formula

Least Common Multiple of 348,643 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 348,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,643) = 1

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

GCF(348,643) x common factors =1 x 1 = 1

LCM(348,643) = ( 348 × 643 ) / 1

LCM(348,643) = 223764 / 1

LCM(348,643) = 223764


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 4640/348, 7540/643

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 4640/348, 7540/643?

Answer: GCF of Numerators as per given numbers 4640/348, 7540/643 is

GCF of Numerators i.e. for 4640,7540 is 580

LCM of denominators i.e. for 348,643 is 223764.

Thus, GCF of Fractions is 580/223764.Finally, GCF of Fractions for 4640/348, 7540/643 is 580/223764.