Greatest Common Factor of 872/31, 718/30, 602/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/31, 718/30, 602/123

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 872/31,718/30,602/123

Given fractions are 872/31,718/30,602/123

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 872,718,602

Greatest Common Factor of Numerators i.e. GCF of 872,718,602 is 2 .

LCM of Denominators means LCM of 31,30,123 as per the given fractions.

LCM of 31,30,123 is 38130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,718,602

GCF of Fractions 872/31,718/30,602/123 is 2/38130

2 872, 718, 602
436, 359, 301

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

Greatest Common Factor of 872,718,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,718,602 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 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 872,718,602 . The biggest common factor number is the GCF number.
So the greatest common factor 872,718,602 is 2.

Lets's calculate LCM of 31,30,123

3 31, 30, 123
31, 10, 41

∴ So the LCM of the given numbers is 3 x 31 x 10 x 41 = 38130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38130

Therefore, the GCF of Fractions 872/31,718/30,602/123 is 2/38130

Least Common Multiple of 31,30,123 with GCF Formula

Least Common Multiple of 31,30,123 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 31,30,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,30,123) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,30,123) x common factors =1 x 3 = 3

LCM(31,30,123) = ( 31 × 30 × 123 ) / 3

LCM(31,30,123) = 114390 / 3

LCM(31,30,123) = 38130


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 872/31, 718/30, 602/123

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 872/31, 718/30, 602/123?

Answer: GCF of Numerators as per given numbers 872/31, 718/30, 602/123 is

GCF of Numerators i.e. for 872,718,602 is 2

LCM of denominators i.e. for 31,30,123 is 38130.

Thus, GCF of Fractions is 2/38130.Finally, GCF of Fractions for 872/31, 718/30, 602/123 is 2/38130.