Greatest Common Factor of 2540/728, 2875/9845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2540/728, 2875/9845

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 2540/728,2875/9845

Given fractions are 2540/728,2875/9845

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 2540,2875

Greatest Common Factor of Numerators i.e. GCF of 2540,2875 is 5 .

LCM of Denominators means LCM of 728,9845 as per the given fractions.

LCM of 728,9845 is 7167160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2540,2875

GCF of Fractions 2540/728,2875/9845 is 5/7167160

5 2540, 2875
508, 575

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2540,2875 By Matching Biggest Common Factor Method

Greatest Common Factor of 2540,2875 By Matching Biggest Common Factor Method

Factors of 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1,2,4,5,10,20,127,254,508,635,1270,2540

Factors of 2875

List of positive integer factors of 2875 that divides 2875 without a remainder.

1,5,23,25,115,125,575,2875

Greatest Common Factor

We found the factors 2540,2875 . The biggest common factor number is the GCF number.
So the greatest common factor 2540,2875 is 5.

Lets's calculate LCM of 728,9845

Given numbers has no common factors except 1. So, there LCM is their product i.e 7167160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7167160

Therefore, the GCF of Fractions 2540/728,2875/9845 is 5/7167160

Least Common Multiple of 728,9845 with GCF Formula

Least Common Multiple of 728,9845 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 728,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,9845) = 1

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

GCF(728,9845) x common factors =1 x 1 = 1

LCM(728,9845) = ( 728 × 9845 ) / 1

LCM(728,9845) = 7167160 / 1

LCM(728,9845) = 7167160


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 2540/728, 2875/9845

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 2540/728, 2875/9845?

Answer: GCF of Numerators as per given numbers 2540/728, 2875/9845 is

GCF of Numerators i.e. for 2540,2875 is 5

LCM of denominators i.e. for 728,9845 is 7167160.

Thus, GCF of Fractions is 5/7167160.Finally, GCF of Fractions for 2540/728, 2875/9845 is 5/7167160.