Greatest Common Factor of 579/649, 6519/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/649, 6519/221

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 579/649,6519/221

Given fractions are 579/649,6519/221

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 579,6519

Greatest Common Factor of Numerators i.e. GCF of 579,6519 is 3 .

LCM of Denominators means LCM of 649,221 as per the given fractions.

LCM of 649,221 is 143429 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,6519

GCF of Fractions 579/649,6519/221 is 3/143429

3 579, 6519
193, 2173

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 579,6519 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,6519 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 6519

List of positive integer factors of 6519 that divides 6519 without a remainder.

1,3,41,53,123,159,2173,6519

Greatest Common Factor

We found the factors 579,6519 . The biggest common factor number is the GCF number.
So the greatest common factor 579,6519 is 3.

Lets's calculate LCM of 649,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 143429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/143429

Therefore, the GCF of Fractions 579/649,6519/221 is 3/143429

Least Common Multiple of 649,221 with GCF Formula

Least Common Multiple of 649,221 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 649,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,221) = 1

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

GCF(649,221) x common factors =1 x 1 = 1

LCM(649,221) = ( 649 × 221 ) / 1

LCM(649,221) = 143429 / 1

LCM(649,221) = 143429


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 579/649, 6519/221

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 579/649, 6519/221?

Answer: GCF of Numerators as per given numbers 579/649, 6519/221 is

GCF of Numerators i.e. for 579,6519 is 3

LCM of denominators i.e. for 649,221 is 143429.

Thus, GCF of Fractions is 3/143429.Finally, GCF of Fractions for 579/649, 6519/221 is 3/143429.