Greatest Common Factor of 939/20, 457/55, 871/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 939/20, 457/55, 871/30

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 939/20,457/55,871/30

Given fractions are 939/20,457/55,871/30

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 939,457,871

Greatest Common Factor of Numerators i.e. GCF of 939,457,871 is 1 .

LCM of Denominators means LCM of 20,55,30 as per the given fractions.

LCM of 20,55,30 is 660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 939,457,871

GCF of Fractions 939/20,457/55,871/30 is 1/660

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

Greatest Common Factor of 939,457,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,457,871 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 939,457,871 . The biggest common factor number is the GCF number.
So the greatest common factor 939,457,871 is 1.

Lets's calculate LCM of 20,55,30

2 20, 55, 30
5 10, 55, 15
2, 11, 3

∴ So the LCM of the given numbers is 2 x 5 x 2 x 11 x 3 = 660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660

Therefore, the GCF of Fractions 939/20,457/55,871/30 is 1/660

Least Common Multiple of 20,55,30 with GCF Formula

Least Common Multiple of 20,55,30 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 20,55,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,55,30) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(20,55,30) x common factors =5 x 10 = 50

LCM(20,55,30) = ( 20 × 55 × 30 ) / 50

LCM(20,55,30) = 33000 / 50

LCM(20,55,30) = 660


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 939/20, 457/55, 871/30

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 939/20, 457/55, 871/30?

Answer: GCF of Numerators as per given numbers 939/20, 457/55, 871/30 is

GCF of Numerators i.e. for 939,457,871 is 1

LCM of denominators i.e. for 20,55,30 is 660.

Thus, GCF of Fractions is 1/660.Finally, GCF of Fractions for 939/20, 457/55, 871/30 is 1/660.