Greatest Common Factor of 93/589, 501/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/589, 501/125

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 93/589,501/125

Given fractions are 93/589,501/125

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 93,501

Greatest Common Factor of Numerators i.e. GCF of 93,501 is 3 .

LCM of Denominators means LCM of 589,125 as per the given fractions.

LCM of 589,125 is 73625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,501

GCF of Fractions 93/589,501/125 is 3/73625

3 93, 501
31, 167

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

Greatest Common Factor of 93,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,501 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 501

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

1,3,167,501

Greatest Common Factor

We found the factors 93,501 . The biggest common factor number is the GCF number.
So the greatest common factor 93,501 is 3.

Lets's calculate LCM of 589,125

Given numbers has no common factors except 1. So, there LCM is their product i.e 73625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73625

Therefore, the GCF of Fractions 93/589,501/125 is 3/73625

Least Common Multiple of 589,125 with GCF Formula

Least Common Multiple of 589,125 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 589,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,125) = 1

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

GCF(589,125) x common factors =1 x 1 = 1

LCM(589,125) = ( 589 × 125 ) / 1

LCM(589,125) = 73625 / 1

LCM(589,125) = 73625


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 93/589, 501/125

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 93/589, 501/125?

Answer: GCF of Numerators as per given numbers 93/589, 501/125 is

GCF of Numerators i.e. for 93,501 is 3

LCM of denominators i.e. for 589,125 is 73625.

Thus, GCF of Fractions is 3/73625.Finally, GCF of Fractions for 93/589, 501/125 is 3/73625.