Greatest Common Factor of 180/831, 7974/8941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/831, 7974/8941

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 180/831,7974/8941

Given fractions are 180/831,7974/8941

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 180,7974

Greatest Common Factor of Numerators i.e. GCF of 180,7974 is 18 .

LCM of Denominators means LCM of 831,8941 as per the given fractions.

LCM of 831,8941 is 7429971 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,7974

GCF of Fractions 180/831,7974/8941 is 18/7429971

2 180, 7974
3 90, 3987
3 30, 1329
10, 443

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 180,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,7974 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 180,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 180,7974 is 18.

Lets's calculate LCM of 831,8941

Given numbers has no common factors except 1. So, there LCM is their product i.e 7429971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/7429971

Therefore, the GCF of Fractions 180/831,7974/8941 is 18/7429971

Least Common Multiple of 831,8941 with GCF Formula

Least Common Multiple of 831,8941 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 831,8941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,8941) = 1

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

GCF(831,8941) x common factors =1 x 1 = 1

LCM(831,8941) = ( 831 × 8941 ) / 1

LCM(831,8941) = 7429971 / 1

LCM(831,8941) = 7429971


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 180/831, 7974/8941

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 180/831, 7974/8941?

Answer: GCF of Numerators as per given numbers 180/831, 7974/8941 is

GCF of Numerators i.e. for 180,7974 is 18

LCM of denominators i.e. for 831,8941 is 7429971.

Thus, GCF of Fractions is 18/7429971.Finally, GCF of Fractions for 180/831, 7974/8941 is 18/7429971.