Greatest Common Factor of 5220/31, 9972/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5220/31, 9972/680

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 5220/31,9972/680

Given fractions are 5220/31,9972/680

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 5220,9972

Greatest Common Factor of Numerators i.e. GCF of 5220,9972 is 36 .

LCM of Denominators means LCM of 31,680 as per the given fractions.

LCM of 31,680 is 21080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5220,9972

GCF of Fractions 5220/31,9972/680 is 36/21080

2 5220, 9972
2 2610, 4986
3 1305, 2493
3 435, 831
145, 277

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 5220,9972 By Matching Biggest Common Factor Method

Greatest Common Factor of 5220,9972 By Matching Biggest Common Factor Method

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Factors of 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972

Greatest Common Factor

We found the factors 5220,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 5220,9972 is 36.

Lets's calculate LCM of 31,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 21080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/21080

Therefore, the GCF of Fractions 5220/31,9972/680 is 36/21080

Least Common Multiple of 31,680 with GCF Formula

Least Common Multiple of 31,680 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 31,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,680) = 1

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

GCF(31,680) x common factors =1 x 1 = 1

LCM(31,680) = ( 31 × 680 ) / 1

LCM(31,680) = 21080 / 1

LCM(31,680) = 21080


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 5220/31, 9972/680

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 5220/31, 9972/680?

Answer: GCF of Numerators as per given numbers 5220/31, 9972/680 is

GCF of Numerators i.e. for 5220,9972 is 36

LCM of denominators i.e. for 31,680 is 21080.

Thus, GCF of Fractions is 36/21080.Finally, GCF of Fractions for 5220/31, 9972/680 is 36/21080.