Greatest Common Factor of 13/68, 59/643, 503/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/68, 59/643, 503/217

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 13/68,59/643,503/217

Given fractions are 13/68,59/643,503/217

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 13,59,503

Greatest Common Factor of Numerators i.e. GCF of 13,59,503 is 1 .

LCM of Denominators means LCM of 68,643,217 as per the given fractions.

LCM of 68,643,217 is 9488108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,59,503

GCF of Fractions 13/68,59/643,503/217 is 1/9488108

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

Greatest Common Factor of 13,59,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,59,503 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 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 13,59,503 . The biggest common factor number is the GCF number.
So the greatest common factor 13,59,503 is 1.

Lets's calculate LCM of 68,643,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 9488108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9488108

Therefore, the GCF of Fractions 13/68,59/643,503/217 is 1/9488108

Least Common Multiple of 68,643,217 with GCF Formula

Least Common Multiple of 68,643,217 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 68,643,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,643,217) = 1

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

GCF(68,643,217) x common factors =1 x 1 = 1

LCM(68,643,217) = ( 68 × 643 × 217 ) / 1

LCM(68,643,217) = 9488108 / 1

LCM(68,643,217) = 9488108


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 13/68, 59/643, 503/217

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 13/68, 59/643, 503/217?

Answer: GCF of Numerators as per given numbers 13/68, 59/643, 503/217 is

GCF of Numerators i.e. for 13,59,503 is 1

LCM of denominators i.e. for 68,643,217 is 9488108.

Thus, GCF of Fractions is 1/9488108.Finally, GCF of Fractions for 13/68, 59/643, 503/217 is 1/9488108.