Greatest Common Factor of 539/31, 807/30, 131/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/31, 807/30, 131/17

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 539/31,807/30,131/17

Given fractions are 539/31,807/30,131/17

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 539,807,131

Greatest Common Factor of Numerators i.e. GCF of 539,807,131 is 1 .

LCM of Denominators means LCM of 31,30,17 as per the given fractions.

LCM of 31,30,17 is 15810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,807,131

GCF of Fractions 539/31,807/30,131/17 is 1/15810

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 539,807,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,807,131 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 539,807,131 . The biggest common factor number is the GCF number.
So the greatest common factor 539,807,131 is 1.

Lets's calculate LCM of 31,30,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 15810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15810

Therefore, the GCF of Fractions 539/31,807/30,131/17 is 1/15810

Least Common Multiple of 31,30,17 with GCF Formula

Least Common Multiple of 31,30,17 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 31,30,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,30,17) = 1

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

GCF(31,30,17) x common factors =1 x 1 = 1

LCM(31,30,17) = ( 31 × 30 × 17 ) / 1

LCM(31,30,17) = 15810 / 1

LCM(31,30,17) = 15810


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 539/31, 807/30, 131/17

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 539/31, 807/30, 131/17?

Answer: GCF of Numerators as per given numbers 539/31, 807/30, 131/17 is

GCF of Numerators i.e. for 539,807,131 is 1

LCM of denominators i.e. for 31,30,17 is 15810.

Thus, GCF of Fractions is 1/15810.Finally, GCF of Fractions for 539/31, 807/30, 131/17 is 1/15810.