Greatest Common Factor of 452/31, 157/28, 870/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/31, 157/28, 870/902

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 452/31,157/28,870/902

Given fractions are 452/31,157/28,870/902

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 452,157,870

Greatest Common Factor of Numerators i.e. GCF of 452,157,870 is 1 .

LCM of Denominators means LCM of 31,28,902 as per the given fractions.

LCM of 31,28,902 is 391468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,157,870

GCF of Fractions 452/31,157/28,870/902 is 1/391468

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 452,157,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,157,870 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 452,157,870 . The biggest common factor number is the GCF number.
So the greatest common factor 452,157,870 is 1.

Lets's calculate LCM of 31,28,902

2 31, 28, 902
31, 14, 451

∴ So the LCM of the given numbers is 2 x 31 x 14 x 451 = 391468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391468

Therefore, the GCF of Fractions 452/31,157/28,870/902 is 1/391468

Least Common Multiple of 31,28,902 with GCF Formula

Least Common Multiple of 31,28,902 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 31,28,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,28,902) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,28,902) x common factors =1 x 2 = 2

LCM(31,28,902) = ( 31 × 28 × 902 ) / 2

LCM(31,28,902) = 782936 / 2

LCM(31,28,902) = 391468


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 452/31, 157/28, 870/902

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 452/31, 157/28, 870/902?

Answer: GCF of Numerators as per given numbers 452/31, 157/28, 870/902 is

GCF of Numerators i.e. for 452,157,870 is 1

LCM of denominators i.e. for 31,28,902 is 391468.

Thus, GCF of Fractions is 1/391468.Finally, GCF of Fractions for 452/31, 157/28, 870/902 is 1/391468.