Greatest Common Factor of 523/507, 1815/1664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/507, 1815/1664

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 523/507,1815/1664

Given fractions are 523/507,1815/1664

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 523,1815

Greatest Common Factor of Numerators i.e. GCF of 523,1815 is 1 .

LCM of Denominators means LCM of 507,1664 as per the given fractions.

LCM of 507,1664 is 64896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,1815

GCF of Fractions 523/507,1815/1664 is 1/64896

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

Greatest Common Factor of 523,1815 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,1815 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1,3,5,11,15,33,55,121,165,363,605,1815

Greatest Common Factor

We found the factors 523,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 523,1815 is 1.

Lets's calculate LCM of 507,1664

13 507, 1664
39, 128

∴ So the LCM of the given numbers is 13 x 39 x 128 = 64896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64896

Therefore, the GCF of Fractions 523/507,1815/1664 is 1/64896

Least Common Multiple of 507,1664 with GCF Formula

Least Common Multiple of 507,1664 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 507,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,1664) = 13

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

GCF(507,1664) x common factors =13 x 1 = 13

LCM(507,1664) = ( 507 × 1664 ) / 13

LCM(507,1664) = 843648 / 13

LCM(507,1664) = 64896


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 523/507, 1815/1664

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 523/507, 1815/1664?

Answer: GCF of Numerators as per given numbers 523/507, 1815/1664 is

GCF of Numerators i.e. for 523,1815 is 1

LCM of denominators i.e. for 507,1664 is 64896.

Thus, GCF of Fractions is 1/64896.Finally, GCF of Fractions for 523/507, 1815/1664 is 1/64896.