Greatest Common Factor of 875/272, 425/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/272, 425/642

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 875/272,425/642

Given fractions are 875/272,425/642

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 875,425

Greatest Common Factor of Numerators i.e. GCF of 875,425 is 25 .

LCM of Denominators means LCM of 272,642 as per the given fractions.

LCM of 272,642 is 87312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,425

GCF of Fractions 875/272,425/642 is 25/87312

5 875, 425
5 175, 85
35, 17

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

Greatest Common Factor of 875,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,425 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 875,425 . The biggest common factor number is the GCF number.
So the greatest common factor 875,425 is 25.

Lets's calculate LCM of 272,642

2 272, 642
136, 321

∴ So the LCM of the given numbers is 2 x 136 x 321 = 87312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/87312

Therefore, the GCF of Fractions 875/272,425/642 is 25/87312

Least Common Multiple of 272,642 with GCF Formula

Least Common Multiple of 272,642 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 272,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,642) = 2

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

GCF(272,642) x common factors =2 x 1 = 2

LCM(272,642) = ( 272 × 642 ) / 2

LCM(272,642) = 174624 / 2

LCM(272,642) = 87312


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 875/272, 425/642

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 875/272, 425/642?

Answer: GCF of Numerators as per given numbers 875/272, 425/642 is

GCF of Numerators i.e. for 875,425 is 25

LCM of denominators i.e. for 272,642 is 87312.

Thus, GCF of Fractions is 25/87312.Finally, GCF of Fractions for 875/272, 425/642 is 25/87312.