Greatest Common Factor of 26/243, 498/721, 344/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/243, 498/721, 344/816

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 26/243,498/721,344/816

Given fractions are 26/243,498/721,344/816

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 26,498,344

Greatest Common Factor of Numerators i.e. GCF of 26,498,344 is 2 .

LCM of Denominators means LCM of 243,721,816 as per the given fractions.

LCM of 243,721,816 is 47655216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,498,344

GCF of Fractions 26/243,498/721,344/816 is 2/47655216

2 26, 498, 344
13, 249, 172

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

Greatest Common Factor of 26,498,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,498,344 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 26,498,344 . The biggest common factor number is the GCF number.
So the greatest common factor 26,498,344 is 2.

Lets's calculate LCM of 243,721,816

3 243, 721, 816
81, 721, 272

∴ So the LCM of the given numbers is 3 x 81 x 721 x 272 = 47655216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47655216

Therefore, the GCF of Fractions 26/243,498/721,344/816 is 2/47655216

Least Common Multiple of 243,721,816 with GCF Formula

Least Common Multiple of 243,721,816 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 243,721,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,721,816) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(243,721,816) x common factors =1 x 3 = 3

LCM(243,721,816) = ( 243 × 721 × 816 ) / 3

LCM(243,721,816) = 142965648 / 3

LCM(243,721,816) = 47655216


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 26/243, 498/721, 344/816

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 26/243, 498/721, 344/816?

Answer: GCF of Numerators as per given numbers 26/243, 498/721, 344/816 is

GCF of Numerators i.e. for 26,498,344 is 2

LCM of denominators i.e. for 243,721,816 is 47655216.

Thus, GCF of Fractions is 2/47655216.Finally, GCF of Fractions for 26/243, 498/721, 344/816 is 2/47655216.