Greatest Common Factor of 428/54, 731/49, 758/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/54, 731/49, 758/291

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 428/54,731/49,758/291

Given fractions are 428/54,731/49,758/291

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 428,731,758

Greatest Common Factor of Numerators i.e. GCF of 428,731,758 is 1 .

LCM of Denominators means LCM of 54,49,291 as per the given fractions.

LCM of 54,49,291 is 256662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,731,758

GCF of Fractions 428/54,731/49,758/291 is 1/256662

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

Greatest Common Factor of 428,731,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,731,758 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 428,731,758 . The biggest common factor number is the GCF number.
So the greatest common factor 428,731,758 is 1.

Lets's calculate LCM of 54,49,291

3 54, 49, 291
18, 49, 97

∴ So the LCM of the given numbers is 3 x 18 x 49 x 97 = 256662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256662

Therefore, the GCF of Fractions 428/54,731/49,758/291 is 1/256662

Least Common Multiple of 54,49,291 with GCF Formula

Least Common Multiple of 54,49,291 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 54,49,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,49,291) = 1

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

GCF(54,49,291) x common factors =1 x 3 = 3

LCM(54,49,291) = ( 54 × 49 × 291 ) / 3

LCM(54,49,291) = 769986 / 3

LCM(54,49,291) = 256662


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 428/54, 731/49, 758/291

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 428/54, 731/49, 758/291?

Answer: GCF of Numerators as per given numbers 428/54, 731/49, 758/291 is

GCF of Numerators i.e. for 428,731,758 is 1

LCM of denominators i.e. for 54,49,291 is 256662.

Thus, GCF of Fractions is 1/256662.Finally, GCF of Fractions for 428/54, 731/49, 758/291 is 1/256662.