Greatest Common Factor of 254/58, 813/64, 444/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/58, 813/64, 444/732

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 254/58,813/64,444/732

Given fractions are 254/58,813/64,444/732

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 254,813,444

Greatest Common Factor of Numerators i.e. GCF of 254,813,444 is 1 .

LCM of Denominators means LCM of 58,64,732 as per the given fractions.

LCM of 58,64,732 is 339648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,813,444

GCF of Fractions 254/58,813/64,444/732 is 1/339648

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

Greatest Common Factor of 254,813,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,813,444 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 254,813,444 . The biggest common factor number is the GCF number.
So the greatest common factor 254,813,444 is 1.

Lets's calculate LCM of 58,64,732

2 58, 64, 732
2 29, 32, 366
29, 16, 183

∴ So the LCM of the given numbers is 2 x 2 x 29 x 16 x 183 = 339648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339648

Therefore, the GCF of Fractions 254/58,813/64,444/732 is 1/339648

Least Common Multiple of 58,64,732 with GCF Formula

Least Common Multiple of 58,64,732 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 58,64,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,64,732) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,64,732) x common factors =2 x 4 = 8

LCM(58,64,732) = ( 58 × 64 × 732 ) / 8

LCM(58,64,732) = 2717184 / 8

LCM(58,64,732) = 339648


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 254/58, 813/64, 444/732

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 254/58, 813/64, 444/732?

Answer: GCF of Numerators as per given numbers 254/58, 813/64, 444/732 is

GCF of Numerators i.e. for 254,813,444 is 1

LCM of denominators i.e. for 58,64,732 is 339648.

Thus, GCF of Fractions is 1/339648.Finally, GCF of Fractions for 254/58, 813/64, 444/732 is 1/339648.