Greatest Common Factor of 970/52, 540/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 970/52, 540/981

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 970/52,540/981

Given fractions are 970/52,540/981

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 970,540

Greatest Common Factor of Numerators i.e. GCF of 970,540 is 10 .

LCM of Denominators means LCM of 52,981 as per the given fractions.

LCM of 52,981 is 51012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 970,540

GCF of Fractions 970/52,540/981 is 10/51012

2 970, 540
5 485, 270
97, 54

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 970,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,540 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 970,540 . The biggest common factor number is the GCF number.
So the greatest common factor 970,540 is 10.

Lets's calculate LCM of 52,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 51012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/51012

Therefore, the GCF of Fractions 970/52,540/981 is 10/51012

Least Common Multiple of 52,981 with GCF Formula

Least Common Multiple of 52,981 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 52,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,981) = 1

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

GCF(52,981) x common factors =1 x 1 = 1

LCM(52,981) = ( 52 × 981 ) / 1

LCM(52,981) = 51012 / 1

LCM(52,981) = 51012


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 970/52, 540/981

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 970/52, 540/981?

Answer: GCF of Numerators as per given numbers 970/52, 540/981 is

GCF of Numerators i.e. for 970,540 is 10

LCM of denominators i.e. for 52,981 is 51012.

Thus, GCF of Fractions is 10/51012.Finally, GCF of Fractions for 970/52, 540/981 is 10/51012.