Greatest Common Factor of 521/54, 4676/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 521/54, 4676/609

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 521/54,4676/609

Given fractions are 521/54,4676/609

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 521,4676

Greatest Common Factor of Numerators i.e. GCF of 521,4676 is 1 .

LCM of Denominators means LCM of 54,609 as per the given fractions.

LCM of 54,609 is 10962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 521,4676

GCF of Fractions 521/54,4676/609 is 1/10962

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

Greatest Common Factor of 521,4676 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,4676 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1,2,4,7,14,28,167,334,668,1169,2338,4676

Greatest Common Factor

We found the factors 521,4676 . The biggest common factor number is the GCF number.
So the greatest common factor 521,4676 is 1.

Lets's calculate LCM of 54,609

3 54, 609
18, 203

∴ So the LCM of the given numbers is 3 x 18 x 203 = 10962

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

Therefore, the GCF of Fractions 521/54,4676/609 is 1/10962

Least Common Multiple of 54,609 with GCF Formula

Least Common Multiple of 54,609 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 54,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,609) = 3

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

GCF(54,609) x common factors =3 x 1 = 3

LCM(54,609) = ( 54 × 609 ) / 3

LCM(54,609) = 32886 / 3

LCM(54,609) = 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 521/54, 4676/609

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 521/54, 4676/609?

Answer: GCF of Numerators as per given numbers 521/54, 4676/609 is

GCF of Numerators i.e. for 521,4676 is 1

LCM of denominators i.e. for 54,609 is 10962.

Thus, GCF of Fractions is 1/10962.Finally, GCF of Fractions for 521/54, 4676/609 is 1/10962.