Greatest Common Factor of 501/59, 558/5994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/59, 558/5994

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 501/59,558/5994

Given fractions are 501/59,558/5994

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 501,558

Greatest Common Factor of Numerators i.e. GCF of 501,558 is 3 .

LCM of Denominators means LCM of 59,5994 as per the given fractions.

LCM of 59,5994 is 353646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,558

GCF of Fractions 501/59,558/5994 is 3/353646

3 501, 558
167, 186

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

Greatest Common Factor of 501,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,558 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 501,558 . The biggest common factor number is the GCF number.
So the greatest common factor 501,558 is 3.

Lets's calculate LCM of 59,5994

Given numbers has no common factors except 1. So, there LCM is their product i.e 353646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/353646

Therefore, the GCF of Fractions 501/59,558/5994 is 3/353646

Least Common Multiple of 59,5994 with GCF Formula

Least Common Multiple of 59,5994 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 59,5994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,5994) = 1

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

GCF(59,5994) x common factors =1 x 1 = 1

LCM(59,5994) = ( 59 × 5994 ) / 1

LCM(59,5994) = 353646 / 1

LCM(59,5994) = 353646


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 501/59, 558/5994

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 501/59, 558/5994?

Answer: GCF of Numerators as per given numbers 501/59, 558/5994 is

GCF of Numerators i.e. for 501,558 is 3

LCM of denominators i.e. for 59,5994 is 353646.

Thus, GCF of Fractions is 3/353646.Finally, GCF of Fractions for 501/59, 558/5994 is 3/353646.