Greatest Common Factor of 13/54, 238/98, 318/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/54, 238/98, 318/111

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 13/54,238/98,318/111

Given fractions are 13/54,238/98,318/111

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 13,238,318

Greatest Common Factor of Numerators i.e. GCF of 13,238,318 is 1 .

LCM of Denominators means LCM of 54,98,111 as per the given fractions.

LCM of 54,98,111 is 97902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,238,318

GCF of Fractions 13/54,238/98,318/111 is 1/97902

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

Greatest Common Factor of 13,238,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,238,318 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 13,238,318 . The biggest common factor number is the GCF number.
So the greatest common factor 13,238,318 is 1.

Lets's calculate LCM of 54,98,111

2 54, 98, 111
3 27, 49, 111
9, 49, 37

∴ So the LCM of the given numbers is 2 x 3 x 9 x 49 x 37 = 97902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97902

Therefore, the GCF of Fractions 13/54,238/98,318/111 is 1/97902

Least Common Multiple of 54,98,111 with GCF Formula

Least Common Multiple of 54,98,111 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 54,98,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,98,111) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,98,111) x common factors =1 x 6 = 6

LCM(54,98,111) = ( 54 × 98 × 111 ) / 6

LCM(54,98,111) = 587412 / 6

LCM(54,98,111) = 97902


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 13/54, 238/98, 318/111

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 13/54, 238/98, 318/111?

Answer: GCF of Numerators as per given numbers 13/54, 238/98, 318/111 is

GCF of Numerators i.e. for 13,238,318 is 1

LCM of denominators i.e. for 54,98,111 is 97902.

Thus, GCF of Fractions is 1/97902.Finally, GCF of Fractions for 13/54, 238/98, 318/111 is 1/97902.