Greatest Common Factor of 40/25, 50/320, 732/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/25, 50/320, 732/944

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 40/25,50/320,732/944

Given fractions are 40/25,50/320,732/944

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 40,50,732

Greatest Common Factor of Numerators i.e. GCF of 40,50,732 is 2 .

LCM of Denominators means LCM of 25,320,944 as per the given fractions.

LCM of 25,320,944 is 94400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,50,732

GCF of Fractions 40/25,50/320,732/944 is 2/94400

2 40, 50, 732
20, 25, 366

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 40,50,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,50,732 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 40,50,732 . The biggest common factor number is the GCF number.
So the greatest common factor 40,50,732 is 2.

Lets's calculate LCM of 25,320,944

2 25, 320, 944
2 25, 160, 472
2 25, 80, 236
2 25, 40, 118
5 25, 20, 59
5, 4, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 4 x 59 = 94400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94400

Therefore, the GCF of Fractions 40/25,50/320,732/944 is 2/94400

Least Common Multiple of 25,320,944 with GCF Formula

Least Common Multiple of 25,320,944 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 25,320,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,320,944) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(25,320,944) x common factors =1 x 80 = 80

LCM(25,320,944) = ( 25 × 320 × 944 ) / 80

LCM(25,320,944) = 7552000 / 80

LCM(25,320,944) = 94400


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 40/25, 50/320, 732/944

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 40/25, 50/320, 732/944?

Answer: GCF of Numerators as per given numbers 40/25, 50/320, 732/944 is

GCF of Numerators i.e. for 40,50,732 is 2

LCM of denominators i.e. for 25,320,944 is 94400.

Thus, GCF of Fractions is 2/94400.Finally, GCF of Fractions for 40/25, 50/320, 732/944 is 2/94400.