Greatest Common Factor of 493/49, 615/7427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/49, 615/7427

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 493/49,615/7427

Given fractions are 493/49,615/7427

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 493,615

Greatest Common Factor of Numerators i.e. GCF of 493,615 is 1 .

LCM of Denominators means LCM of 49,7427 as per the given fractions.

LCM of 49,7427 is 51989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,615

GCF of Fractions 493/49,615/7427 is 1/51989

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

Greatest Common Factor of 493,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,615 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 493,615 . The biggest common factor number is the GCF number.
So the greatest common factor 493,615 is 1.

Lets's calculate LCM of 49,7427

7 49, 7427
7, 1061

∴ So the LCM of the given numbers is 7 x 7 x 1061 = 51989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51989

Therefore, the GCF of Fractions 493/49,615/7427 is 1/51989

Least Common Multiple of 49,7427 with GCF Formula

Least Common Multiple of 49,7427 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 49,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,7427) = 7

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

GCF(49,7427) x common factors =7 x 1 = 7

LCM(49,7427) = ( 49 × 7427 ) / 7

LCM(49,7427) = 363923 / 7

LCM(49,7427) = 51989


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 493/49, 615/7427

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 493/49, 615/7427?

Answer: GCF of Numerators as per given numbers 493/49, 615/7427 is

GCF of Numerators i.e. for 493,615 is 1

LCM of denominators i.e. for 49,7427 is 51989.

Thus, GCF of Fractions is 1/51989.Finally, GCF of Fractions for 493/49, 615/7427 is 1/51989.