Greatest Common Factor of 491/36, 650/73, 723/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 491/36, 650/73, 723/513

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 491/36,650/73,723/513

Given fractions are 491/36,650/73,723/513

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 491,650,723

Greatest Common Factor of Numerators i.e. GCF of 491,650,723 is 1 .

LCM of Denominators means LCM of 36,73,513 as per the given fractions.

LCM of 36,73,513 is 149796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 491,650,723

GCF of Fractions 491/36,650/73,723/513 is 1/149796

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

Greatest Common Factor of 491,650,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,650,723 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 491,650,723 . The biggest common factor number is the GCF number.
So the greatest common factor 491,650,723 is 1.

Lets's calculate LCM of 36,73,513

3 36, 73, 513
3 12, 73, 171
4, 73, 57

∴ So the LCM of the given numbers is 3 x 3 x 4 x 73 x 57 = 149796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149796

Therefore, the GCF of Fractions 491/36,650/73,723/513 is 1/149796

Least Common Multiple of 36,73,513 with GCF Formula

Least Common Multiple of 36,73,513 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 36,73,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,73,513) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(36,73,513) x common factors =1 x 9 = 9

LCM(36,73,513) = ( 36 × 73 × 513 ) / 9

LCM(36,73,513) = 1348164 / 9

LCM(36,73,513) = 149796


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 491/36, 650/73, 723/513

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 491/36, 650/73, 723/513?

Answer: GCF of Numerators as per given numbers 491/36, 650/73, 723/513 is

GCF of Numerators i.e. for 491,650,723 is 1

LCM of denominators i.e. for 36,73,513 is 149796.

Thus, GCF of Fractions is 1/149796.Finally, GCF of Fractions for 491/36, 650/73, 723/513 is 1/149796.