Greatest Common Factor of 531/20, 978/3077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 531/20, 978/3077

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 531/20,978/3077

Given fractions are 531/20,978/3077

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 531,978

Greatest Common Factor of Numerators i.e. GCF of 531,978 is 3 .

LCM of Denominators means LCM of 20,3077 as per the given fractions.

LCM of 20,3077 is 61540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 531,978

GCF of Fractions 531/20,978/3077 is 3/61540

3 531, 978
177, 326

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 531,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,978 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 531,978 . The biggest common factor number is the GCF number.
So the greatest common factor 531,978 is 3.

Lets's calculate LCM of 20,3077

Given numbers has no common factors except 1. So, there LCM is their product i.e 61540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/61540

Therefore, the GCF of Fractions 531/20,978/3077 is 3/61540

Least Common Multiple of 20,3077 with GCF Formula

Least Common Multiple of 20,3077 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 20,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,3077) = 1

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

GCF(20,3077) x common factors =1 x 1 = 1

LCM(20,3077) = ( 20 × 3077 ) / 1

LCM(20,3077) = 61540 / 1

LCM(20,3077) = 61540


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 531/20, 978/3077

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 531/20, 978/3077?

Answer: GCF of Numerators as per given numbers 531/20, 978/3077 is

GCF of Numerators i.e. for 531,978 is 3

LCM of denominators i.e. for 20,3077 is 61540.

Thus, GCF of Fractions is 3/61540.Finally, GCF of Fractions for 531/20, 978/3077 is 3/61540.