Greatest Common Factor of 872/59, 153/80, 137/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/59, 153/80, 137/11

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 872/59,153/80,137/11

Given fractions are 872/59,153/80,137/11

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 872,153,137

Greatest Common Factor of Numerators i.e. GCF of 872,153,137 is 1 .

LCM of Denominators means LCM of 59,80,11 as per the given fractions.

LCM of 59,80,11 is 51920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,153,137

GCF of Fractions 872/59,153/80,137/11 is 1/51920

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

Greatest Common Factor of 872,153,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,153,137 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 872,153,137 . The biggest common factor number is the GCF number.
So the greatest common factor 872,153,137 is 1.

Lets's calculate LCM of 59,80,11

Given numbers has no common factors except 1. So, there LCM is their product i.e 51920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51920

Therefore, the GCF of Fractions 872/59,153/80,137/11 is 1/51920

Least Common Multiple of 59,80,11 with GCF Formula

Least Common Multiple of 59,80,11 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 59,80,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,80,11) = 1

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

GCF(59,80,11) x common factors =1 x 1 = 1

LCM(59,80,11) = ( 59 × 80 × 11 ) / 1

LCM(59,80,11) = 51920 / 1

LCM(59,80,11) = 51920


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 872/59, 153/80, 137/11

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 872/59, 153/80, 137/11?

Answer: GCF of Numerators as per given numbers 872/59, 153/80, 137/11 is

GCF of Numerators i.e. for 872,153,137 is 1

LCM of denominators i.e. for 59,80,11 is 51920.

Thus, GCF of Fractions is 1/51920.Finally, GCF of Fractions for 872/59, 153/80, 137/11 is 1/51920.