Greatest Common Factor of 1080/27, 3972/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1080/27, 3972/827

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 1080/27,3972/827

Given fractions are 1080/27,3972/827

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 1080,3972

Greatest Common Factor of Numerators i.e. GCF of 1080,3972 is 12 .

LCM of Denominators means LCM of 27,827 as per the given fractions.

LCM of 27,827 is 22329 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1080,3972

GCF of Fractions 1080/27,3972/827 is 12/22329

2 1080, 3972
2 540, 1986
3 270, 993
90, 331

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1080,3972 By Matching Biggest Common Factor Method

Greatest Common Factor of 1080,3972 By Matching Biggest Common Factor Method

Factors of 1080

List of positive integer factors of 1080 that divides 1080 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Greatest Common Factor

We found the factors 1080,3972 . The biggest common factor number is the GCF number.
So the greatest common factor 1080,3972 is 12.

Lets's calculate LCM of 27,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 22329

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/22329

Therefore, the GCF of Fractions 1080/27,3972/827 is 12/22329

Least Common Multiple of 27,827 with GCF Formula

Least Common Multiple of 27,827 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 27,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,827) = 1

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

GCF(27,827) x common factors =1 x 1 = 1

LCM(27,827) = ( 27 × 827 ) / 1

LCM(27,827) = 22329 / 1

LCM(27,827) = 22329


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 1080/27, 3972/827

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 1080/27, 3972/827?

Answer: GCF of Numerators as per given numbers 1080/27, 3972/827 is

GCF of Numerators i.e. for 1080,3972 is 12

LCM of denominators i.e. for 27,827 is 22329.

Thus, GCF of Fractions is 12/22329.Finally, GCF of Fractions for 1080/27, 3972/827 is 12/22329.