Greatest Common Factor of 13/501, 1836/1596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/501, 1836/1596

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 13/501,1836/1596

Given fractions are 13/501,1836/1596

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 13,1836

Greatest Common Factor of Numerators i.e. GCF of 13,1836 is 1 .

LCM of Denominators means LCM of 501,1596 as per the given fractions.

LCM of 501,1596 is 266532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,1836

GCF of Fractions 13/501,1836/1596 is 1/266532

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

Greatest Common Factor of 13,1836 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,1836 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 1836

List of positive integer factors of 1836 that divides 1836 without a remainder.

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836

Greatest Common Factor

We found the factors 13,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 13,1836 is 1.

Lets's calculate LCM of 501,1596

3 501, 1596
167, 532

∴ So the LCM of the given numbers is 3 x 167 x 532 = 266532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266532

Therefore, the GCF of Fractions 13/501,1836/1596 is 1/266532

Least Common Multiple of 501,1596 with GCF Formula

Least Common Multiple of 501,1596 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 501,1596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,1596) = 3

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

GCF(501,1596) x common factors =3 x 1 = 3

LCM(501,1596) = ( 501 × 1596 ) / 3

LCM(501,1596) = 799596 / 3

LCM(501,1596) = 266532


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 13/501, 1836/1596

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 13/501, 1836/1596?

Answer: GCF of Numerators as per given numbers 13/501, 1836/1596 is

GCF of Numerators i.e. for 13,1836 is 1

LCM of denominators i.e. for 501,1596 is 266532.

Thus, GCF of Fractions is 1/266532.Finally, GCF of Fractions for 13/501, 1836/1596 is 1/266532.