Greatest Common Factor of 309/57, 744/50, 240/25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/57, 744/50, 240/25

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 309/57,744/50,240/25

Given fractions are 309/57,744/50,240/25

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 309,744,240

Greatest Common Factor of Numerators i.e. GCF of 309,744,240 is 3 .

LCM of Denominators means LCM of 57,50,25 as per the given fractions.

LCM of 57,50,25 is 2850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,744,240

GCF of Fractions 309/57,744/50,240/25 is 3/2850

3 309, 744, 240
103, 248, 80

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 309,744,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,744,240 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 309,744,240 . The biggest common factor number is the GCF number.
So the greatest common factor 309,744,240 is 3.

Lets's calculate LCM of 57,50,25

5 57, 50, 25
5 57, 10, 5
57, 2, 1

∴ So the LCM of the given numbers is 5 x 5 x 57 x 2 x 1 = 2850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2850

Therefore, the GCF of Fractions 309/57,744/50,240/25 is 3/2850

Least Common Multiple of 57,50,25 with GCF Formula

Least Common Multiple of 57,50,25 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 57,50,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,50,25) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(57,50,25) x common factors =1 x 25 = 25

LCM(57,50,25) = ( 57 × 50 × 25 ) / 25

LCM(57,50,25) = 71250 / 25

LCM(57,50,25) = 2850


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 309/57, 744/50, 240/25

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 309/57, 744/50, 240/25?

Answer: GCF of Numerators as per given numbers 309/57, 744/50, 240/25 is

GCF of Numerators i.e. for 309,744,240 is 3

LCM of denominators i.e. for 57,50,25 is 2850.

Thus, GCF of Fractions is 3/2850.Finally, GCF of Fractions for 309/57, 744/50, 240/25 is 3/2850.