Greatest Common Factor of 564/179, 2061/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/179, 2061/306

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 564/179,2061/306

Given fractions are 564/179,2061/306

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 564,2061

Greatest Common Factor of Numerators i.e. GCF of 564,2061 is 3 .

LCM of Denominators means LCM of 179,306 as per the given fractions.

LCM of 179,306 is 54774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,2061

GCF of Fractions 564/179,2061/306 is 3/54774

3 564, 2061
188, 687

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

Greatest Common Factor of 564,2061 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,2061 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 2061

List of positive integer factors of 2061 that divides 2061 without a remainder.

1,3,9,229,687,2061

Greatest Common Factor

We found the factors 564,2061 . The biggest common factor number is the GCF number.
So the greatest common factor 564,2061 is 3.

Lets's calculate LCM of 179,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 54774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54774

Therefore, the GCF of Fractions 564/179,2061/306 is 3/54774

Least Common Multiple of 179,306 with GCF Formula

Least Common Multiple of 179,306 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 179,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,306) = 1

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

GCF(179,306) x common factors =1 x 1 = 1

LCM(179,306) = ( 179 × 306 ) / 1

LCM(179,306) = 54774 / 1

LCM(179,306) = 54774


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 564/179, 2061/306

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 564/179, 2061/306?

Answer: GCF of Numerators as per given numbers 564/179, 2061/306 is

GCF of Numerators i.e. for 564,2061 is 3

LCM of denominators i.e. for 179,306 is 54774.

Thus, GCF of Fractions is 3/54774.Finally, GCF of Fractions for 564/179, 2061/306 is 3/54774.