Greatest Common Factor of 579/52, 942/5403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/52, 942/5403

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 579/52,942/5403

Given fractions are 579/52,942/5403

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 579,942

Greatest Common Factor of Numerators i.e. GCF of 579,942 is 3 .

LCM of Denominators means LCM of 52,5403 as per the given fractions.

LCM of 52,5403 is 280956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,942

GCF of Fractions 579/52,942/5403 is 3/280956

3 579, 942
193, 314

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

Greatest Common Factor of 579,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,942 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 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 579,942 . The biggest common factor number is the GCF number.
So the greatest common factor 579,942 is 3.

Lets's calculate LCM of 52,5403

Given numbers has no common factors except 1. So, there LCM is their product i.e 280956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/280956

Therefore, the GCF of Fractions 579/52,942/5403 is 3/280956

Least Common Multiple of 52,5403 with GCF Formula

Least Common Multiple of 52,5403 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 52,5403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,5403) = 1

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

GCF(52,5403) x common factors =1 x 1 = 1

LCM(52,5403) = ( 52 × 5403 ) / 1

LCM(52,5403) = 280956 / 1

LCM(52,5403) = 280956


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 579/52, 942/5403

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 579/52, 942/5403?

Answer: GCF of Numerators as per given numbers 579/52, 942/5403 is

GCF of Numerators i.e. for 579,942 is 3

LCM of denominators i.e. for 52,5403 is 280956.

Thus, GCF of Fractions is 3/280956.Finally, GCF of Fractions for 579/52, 942/5403 is 3/280956.