Greatest Common Factor of 202/85, 732/25, 270/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 202/85, 732/25, 270/638

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 202/85,732/25,270/638

Given fractions are 202/85,732/25,270/638

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 202,732,270

Greatest Common Factor of Numerators i.e. GCF of 202,732,270 is 2 .

LCM of Denominators means LCM of 85,25,638 as per the given fractions.

LCM of 85,25,638 is 271150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 202,732,270

GCF of Fractions 202/85,732/25,270/638 is 2/271150

2 202, 732, 270
101, 366, 135

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

Greatest Common Factor of 202,732,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,732,270 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

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

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 202,732,270 . The biggest common factor number is the GCF number.
So the greatest common factor 202,732,270 is 2.

Lets's calculate LCM of 85,25,638

5 85, 25, 638
17, 5, 638

∴ So the LCM of the given numbers is 5 x 17 x 5 x 638 = 271150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/271150

Therefore, the GCF of Fractions 202/85,732/25,270/638 is 2/271150

Least Common Multiple of 85,25,638 with GCF Formula

Least Common Multiple of 85,25,638 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 85,25,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,25,638) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,25,638) x common factors =1 x 5 = 5

LCM(85,25,638) = ( 85 × 25 × 638 ) / 5

LCM(85,25,638) = 1355750 / 5

LCM(85,25,638) = 271150


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 202/85, 732/25, 270/638

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 202/85, 732/25, 270/638?

Answer: GCF of Numerators as per given numbers 202/85, 732/25, 270/638 is

GCF of Numerators i.e. for 202,732,270 is 2

LCM of denominators i.e. for 85,25,638 is 271150.

Thus, GCF of Fractions is 2/271150.Finally, GCF of Fractions for 202/85, 732/25, 270/638 is 2/271150.