Greatest Common Factor of 118/268, 4540/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/268, 4540/327

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 118/268,4540/327

Given fractions are 118/268,4540/327

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 118,4540

Greatest Common Factor of Numerators i.e. GCF of 118,4540 is 2 .

LCM of Denominators means LCM of 268,327 as per the given fractions.

LCM of 268,327 is 87636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,4540

GCF of Fractions 118/268,4540/327 is 2/87636

2 118, 4540
59, 2270

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 118,4540 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,4540 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1,2,4,5,10,20,227,454,908,1135,2270,4540

Greatest Common Factor

We found the factors 118,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 118,4540 is 2.

Lets's calculate LCM of 268,327

Given numbers has no common factors except 1. So, there LCM is their product i.e 87636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87636

Therefore, the GCF of Fractions 118/268,4540/327 is 2/87636

Least Common Multiple of 268,327 with GCF Formula

Least Common Multiple of 268,327 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 268,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,327) = 1

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

GCF(268,327) x common factors =1 x 1 = 1

LCM(268,327) = ( 268 × 327 ) / 1

LCM(268,327) = 87636 / 1

LCM(268,327) = 87636


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 118/268, 4540/327

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 118/268, 4540/327?

Answer: GCF of Numerators as per given numbers 118/268, 4540/327 is

GCF of Numerators i.e. for 118,4540 is 2

LCM of denominators i.e. for 268,327 is 87636.

Thus, GCF of Fractions is 2/87636.Finally, GCF of Fractions for 118/268, 4540/327 is 2/87636.