Greatest Common Factor of 491/21, 478/87, 738/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 491/21, 478/87, 738/54

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 491/21,478/87,738/54

Given fractions are 491/21,478/87,738/54

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 491,478,738

Greatest Common Factor of Numerators i.e. GCF of 491,478,738 is 1 .

LCM of Denominators means LCM of 21,87,54 as per the given fractions.

LCM of 21,87,54 is 10962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 491,478,738

GCF of Fractions 491/21,478/87,738/54 is 1/10962

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

Greatest Common Factor of 491,478,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,478,738 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 491,478,738 . The biggest common factor number is the GCF number.
So the greatest common factor 491,478,738 is 1.

Lets's calculate LCM of 21,87,54

3 21, 87, 54
7, 29, 18

∴ So the LCM of the given numbers is 3 x 7 x 29 x 18 = 10962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10962

Therefore, the GCF of Fractions 491/21,478/87,738/54 is 1/10962

Least Common Multiple of 21,87,54 with GCF Formula

Least Common Multiple of 21,87,54 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 21,87,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,87,54) = 3

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

GCF(21,87,54) x common factors =3 x 3 = 9

LCM(21,87,54) = ( 21 × 87 × 54 ) / 9

LCM(21,87,54) = 98658 / 9

LCM(21,87,54) = 10962


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 491/21, 478/87, 738/54

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 491/21, 478/87, 738/54?

Answer: GCF of Numerators as per given numbers 491/21, 478/87, 738/54 is

GCF of Numerators i.e. for 491,478,738 is 1

LCM of denominators i.e. for 21,87,54 is 10962.

Thus, GCF of Fractions is 1/10962.Finally, GCF of Fractions for 491/21, 478/87, 738/54 is 1/10962.