Greatest Common Factor of 263/54, 393/2516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 263/54, 393/2516

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 263/54,393/2516

Given fractions are 263/54,393/2516

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 263,393

Greatest Common Factor of Numerators i.e. GCF of 263,393 is 1 .

LCM of Denominators means LCM of 54,2516 as per the given fractions.

LCM of 54,2516 is 67932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 263,393

GCF of Fractions 263/54,393/2516 is 1/67932

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

Greatest Common Factor of 263,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,393 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 263,393 . The biggest common factor number is the GCF number.
So the greatest common factor 263,393 is 1.

Lets's calculate LCM of 54,2516

2 54, 2516
27, 1258

∴ So the LCM of the given numbers is 2 x 27 x 1258 = 67932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67932

Therefore, the GCF of Fractions 263/54,393/2516 is 1/67932

Least Common Multiple of 54,2516 with GCF Formula

Least Common Multiple of 54,2516 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 54,2516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,2516) = 2

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

GCF(54,2516) x common factors =2 x 1 = 2

LCM(54,2516) = ( 54 × 2516 ) / 2

LCM(54,2516) = 135864 / 2

LCM(54,2516) = 67932


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 263/54, 393/2516

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 263/54, 393/2516?

Answer: GCF of Numerators as per given numbers 263/54, 393/2516 is

GCF of Numerators i.e. for 263,393 is 1

LCM of denominators i.e. for 54,2516 is 67932.

Thus, GCF of Fractions is 1/67932.Finally, GCF of Fractions for 263/54, 393/2516 is 1/67932.