Greatest Common Factor of 25/96, 150/97, 250/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/96, 150/97, 250/373

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 25/96,150/97,250/373

Given fractions are 25/96,150/97,250/373

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 25,150,250

Greatest Common Factor of Numerators i.e. GCF of 25,150,250 is 25 .

LCM of Denominators means LCM of 96,97,373 as per the given fractions.

LCM of 96,97,373 is 3473376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,150,250

GCF of Fractions 25/96,150/97,250/373 is 25/3473376

5 25, 150, 250
5 5, 30, 50
1, 6, 10

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 25,150,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,150,250 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 25,150,250 . The biggest common factor number is the GCF number.
So the greatest common factor 25,150,250 is 25.

Lets's calculate LCM of 96,97,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 3473376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3473376

Therefore, the GCF of Fractions 25/96,150/97,250/373 is 25/3473376

Least Common Multiple of 96,97,373 with GCF Formula

Least Common Multiple of 96,97,373 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 96,97,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,97,373) = 1

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

GCF(96,97,373) x common factors =1 x 1 = 1

LCM(96,97,373) = ( 96 × 97 × 373 ) / 1

LCM(96,97,373) = 3473376 / 1

LCM(96,97,373) = 3473376


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 25/96, 150/97, 250/373

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 25/96, 150/97, 250/373?

Answer: GCF of Numerators as per given numbers 25/96, 150/97, 250/373 is

GCF of Numerators i.e. for 25,150,250 is 25

LCM of denominators i.e. for 96,97,373 is 3473376.

Thus, GCF of Fractions is 25/3473376.Finally, GCF of Fractions for 25/96, 150/97, 250/373 is 25/3473376.