Greatest Common Factor of 78/493, 57/815, 540/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/493, 57/815, 540/924

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 78/493,57/815,540/924

Given fractions are 78/493,57/815,540/924

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 78,57,540

Greatest Common Factor of Numerators i.e. GCF of 78,57,540 is 3 .

LCM of Denominators means LCM of 493,815,924 as per the given fractions.

LCM of 493,815,924 is 371258580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,57,540

GCF of Fractions 78/493,57/815,540/924 is 3/371258580

3 78, 57, 540
26, 19, 180

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

Greatest Common Factor of 78,57,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,57,540 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

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 78,57,540 . The biggest common factor number is the GCF number.
So the greatest common factor 78,57,540 is 3.

Lets's calculate LCM of 493,815,924

Given numbers has no common factors except 1. So, there LCM is their product i.e 371258580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/371258580

Therefore, the GCF of Fractions 78/493,57/815,540/924 is 3/371258580

Least Common Multiple of 493,815,924 with GCF Formula

Least Common Multiple of 493,815,924 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 493,815,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,815,924) = 1

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

GCF(493,815,924) x common factors =1 x 1 = 1

LCM(493,815,924) = ( 493 × 815 × 924 ) / 1

LCM(493,815,924) = 371258580 / 1

LCM(493,815,924) = 371258580


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 78/493, 57/815, 540/924

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 78/493, 57/815, 540/924?

Answer: GCF of Numerators as per given numbers 78/493, 57/815, 540/924 is

GCF of Numerators i.e. for 78,57,540 is 3

LCM of denominators i.e. for 493,815,924 is 371258580.

Thus, GCF of Fractions is 3/371258580.Finally, GCF of Fractions for 78/493, 57/815, 540/924 is 3/371258580.