Greatest Common Factor of 787/39, 156/20, 540/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/39, 156/20, 540/590

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 787/39,156/20,540/590

Given fractions are 787/39,156/20,540/590

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 787,156,540

Greatest Common Factor of Numerators i.e. GCF of 787,156,540 is 1 .

LCM of Denominators means LCM of 39,20,590 as per the given fractions.

LCM of 39,20,590 is 46020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,156,540

GCF of Fractions 787/39,156/20,540/590 is 1/46020

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

Greatest Common Factor of 787,156,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,156,540 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

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 787,156,540 . The biggest common factor number is the GCF number.
So the greatest common factor 787,156,540 is 1.

Lets's calculate LCM of 39,20,590

2 39, 20, 590
5 39, 10, 295
39, 2, 59

∴ So the LCM of the given numbers is 2 x 5 x 39 x 2 x 59 = 46020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46020

Therefore, the GCF of Fractions 787/39,156/20,540/590 is 1/46020

Least Common Multiple of 39,20,590 with GCF Formula

Least Common Multiple of 39,20,590 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 39,20,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,20,590) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(39,20,590) x common factors =1 x 10 = 10

LCM(39,20,590) = ( 39 × 20 × 590 ) / 10

LCM(39,20,590) = 460200 / 10

LCM(39,20,590) = 46020


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 787/39, 156/20, 540/590

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 787/39, 156/20, 540/590?

Answer: GCF of Numerators as per given numbers 787/39, 156/20, 540/590 is

GCF of Numerators i.e. for 787,156,540 is 1

LCM of denominators i.e. for 39,20,590 is 46020.

Thus, GCF of Fractions is 1/46020.Finally, GCF of Fractions for 787/39, 156/20, 540/590 is 1/46020.