Greatest Common Factor of 21/540, 466/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/540, 466/809

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 21/540,466/809

Given fractions are 21/540,466/809

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 21,466

Greatest Common Factor of Numerators i.e. GCF of 21,466 is 1 .

LCM of Denominators means LCM of 540,809 as per the given fractions.

LCM of 540,809 is 436860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,466

GCF of Fractions 21/540,466/809 is 1/436860

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

Greatest Common Factor of 21,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,466 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 21,466 . The biggest common factor number is the GCF number.
So the greatest common factor 21,466 is 1.

Lets's calculate LCM of 540,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 436860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436860

Therefore, the GCF of Fractions 21/540,466/809 is 1/436860

Least Common Multiple of 540,809 with GCF Formula

Least Common Multiple of 540,809 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 540,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,809) = 1

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

GCF(540,809) x common factors =1 x 1 = 1

LCM(540,809) = ( 540 × 809 ) / 1

LCM(540,809) = 436860 / 1

LCM(540,809) = 436860


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 21/540, 466/809

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 21/540, 466/809?

Answer: GCF of Numerators as per given numbers 21/540, 466/809 is

GCF of Numerators i.e. for 21,466 is 1

LCM of denominators i.e. for 540,809 is 436860.

Thus, GCF of Fractions is 1/436860.Finally, GCF of Fractions for 21/540, 466/809 is 1/436860.