Greatest Common Factor of 54/982, 260/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/982, 260/342

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 54/982,260/342

Given fractions are 54/982,260/342

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 54,260

Greatest Common Factor of Numerators i.e. GCF of 54,260 is 2 .

LCM of Denominators means LCM of 982,342 as per the given fractions.

LCM of 982,342 is 167922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,260

GCF of Fractions 54/982,260/342 is 2/167922

2 54, 260
27, 130

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

Greatest Common Factor of 54,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,260 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 54,260 . The biggest common factor number is the GCF number.
So the greatest common factor 54,260 is 2.

Lets's calculate LCM of 982,342

2 982, 342
491, 171

∴ So the LCM of the given numbers is 2 x 491 x 171 = 167922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167922

Therefore, the GCF of Fractions 54/982,260/342 is 2/167922

Least Common Multiple of 982,342 with GCF Formula

Least Common Multiple of 982,342 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 982,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,342) = 2

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

GCF(982,342) x common factors =2 x 1 = 2

LCM(982,342) = ( 982 × 342 ) / 2

LCM(982,342) = 335844 / 2

LCM(982,342) = 167922


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 54/982, 260/342

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 54/982, 260/342?

Answer: GCF of Numerators as per given numbers 54/982, 260/342 is

GCF of Numerators i.e. for 54,260 is 2

LCM of denominators i.e. for 982,342 is 167922.

Thus, GCF of Fractions is 2/167922.Finally, GCF of Fractions for 54/982, 260/342 is 2/167922.