Greatest Common Factor of 501/523, 7586/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/523, 7586/889

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 501/523,7586/889

Given fractions are 501/523,7586/889

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 501,7586

Greatest Common Factor of Numerators i.e. GCF of 501,7586 is 1 .

LCM of Denominators means LCM of 523,889 as per the given fractions.

LCM of 523,889 is 464947 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,7586

GCF of Fractions 501/523,7586/889 is 1/464947

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 501,7586 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,7586 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 7586

List of positive integer factors of 7586 that divides 7586 without a remainder.

1,2,3793,7586

Greatest Common Factor

We found the factors 501,7586 . The biggest common factor number is the GCF number.
So the greatest common factor 501,7586 is 1.

Lets's calculate LCM of 523,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 464947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464947

Therefore, the GCF of Fractions 501/523,7586/889 is 1/464947

Least Common Multiple of 523,889 with GCF Formula

Least Common Multiple of 523,889 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 523,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,889) = 1

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

GCF(523,889) x common factors =1 x 1 = 1

LCM(523,889) = ( 523 × 889 ) / 1

LCM(523,889) = 464947 / 1

LCM(523,889) = 464947


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 501/523, 7586/889

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 501/523, 7586/889?

Answer: GCF of Numerators as per given numbers 501/523, 7586/889 is

GCF of Numerators i.e. for 501,7586 is 1

LCM of denominators i.e. for 523,889 is 464947.

Thus, GCF of Fractions is 1/464947.Finally, GCF of Fractions for 501/523, 7586/889 is 1/464947.