Greatest Common Factor of 8328/131, 5970/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8328/131, 5970/861

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 8328/131,5970/861

Given fractions are 8328/131,5970/861

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 8328,5970

Greatest Common Factor of Numerators i.e. GCF of 8328,5970 is 6 .

LCM of Denominators means LCM of 131,861 as per the given fractions.

LCM of 131,861 is 112791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8328,5970

GCF of Fractions 8328/131,5970/861 is 6/112791

2 8328, 5970
3 4164, 2985
1388, 995

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8328,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 8328,5970 By Matching Biggest Common Factor Method

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 8328,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 8328,5970 is 6.

Lets's calculate LCM of 131,861

Given numbers has no common factors except 1. So, there LCM is their product i.e 112791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/112791

Therefore, the GCF of Fractions 8328/131,5970/861 is 6/112791

Least Common Multiple of 131,861 with GCF Formula

Least Common Multiple of 131,861 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 131,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,861) = 1

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

GCF(131,861) x common factors =1 x 1 = 1

LCM(131,861) = ( 131 × 861 ) / 1

LCM(131,861) = 112791 / 1

LCM(131,861) = 112791


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 8328/131, 5970/861

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 8328/131, 5970/861?

Answer: GCF of Numerators as per given numbers 8328/131, 5970/861 is

GCF of Numerators i.e. for 8328,5970 is 6

LCM of denominators i.e. for 131,861 is 112791.

Thus, GCF of Fractions is 6/112791.Finally, GCF of Fractions for 8328/131, 5970/861 is 6/112791.