Greatest Common Factor of 725/57, 7424/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/57, 7424/940

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 725/57,7424/940

Given fractions are 725/57,7424/940

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 725,7424

Greatest Common Factor of Numerators i.e. GCF of 725,7424 is 29 .

LCM of Denominators means LCM of 57,940 as per the given fractions.

LCM of 57,940 is 53580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,7424

GCF of Fractions 725/57,7424/940 is 29/53580

29 725, 7424
25, 256

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 725,7424 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,7424 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Greatest Common Factor

We found the factors 725,7424 . The biggest common factor number is the GCF number.
So the greatest common factor 725,7424 is 29.

Lets's calculate LCM of 57,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 53580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/53580

Therefore, the GCF of Fractions 725/57,7424/940 is 29/53580

Least Common Multiple of 57,940 with GCF Formula

Least Common Multiple of 57,940 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 57,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,940) = 1

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

GCF(57,940) x common factors =1 x 1 = 1

LCM(57,940) = ( 57 × 940 ) / 1

LCM(57,940) = 53580 / 1

LCM(57,940) = 53580


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 725/57, 7424/940

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 725/57, 7424/940?

Answer: GCF of Numerators as per given numbers 725/57, 7424/940 is

GCF of Numerators i.e. for 725,7424 is 29

LCM of denominators i.e. for 57,940 is 53580.

Thus, GCF of Fractions is 29/53580.Finally, GCF of Fractions for 725/57, 7424/940 is 29/53580.