Greatest Common Factor of 595/418, 7737/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 595/418, 7737/254

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 595/418,7737/254

Given fractions are 595/418,7737/254

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 595,7737

Greatest Common Factor of Numerators i.e. GCF of 595,7737 is 1 .

LCM of Denominators means LCM of 418,254 as per the given fractions.

LCM of 418,254 is 53086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 595,7737

GCF of Fractions 595/418,7737/254 is 1/53086

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

Greatest Common Factor of 595,7737 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,7737 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 7737

List of positive integer factors of 7737 that divides 7737 without a remainder.

1,3,2579,7737

Greatest Common Factor

We found the factors 595,7737 . The biggest common factor number is the GCF number.
So the greatest common factor 595,7737 is 1.

Lets's calculate LCM of 418,254

2 418, 254
209, 127

∴ So the LCM of the given numbers is 2 x 209 x 127 = 53086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53086

Therefore, the GCF of Fractions 595/418,7737/254 is 1/53086

Least Common Multiple of 418,254 with GCF Formula

Least Common Multiple of 418,254 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 418,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,254) = 2

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

GCF(418,254) x common factors =2 x 1 = 2

LCM(418,254) = ( 418 × 254 ) / 2

LCM(418,254) = 106172 / 2

LCM(418,254) = 53086


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 595/418, 7737/254

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 595/418, 7737/254?

Answer: GCF of Numerators as per given numbers 595/418, 7737/254 is

GCF of Numerators i.e. for 595,7737 is 1

LCM of denominators i.e. for 418,254 is 53086.

Thus, GCF of Fractions is 1/53086.Finally, GCF of Fractions for 595/418, 7737/254 is 1/53086.