Greatest Common Factor of 59/109, 21/1361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/109, 21/1361

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 59/109,21/1361

Given fractions are 59/109,21/1361

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 59,21

Greatest Common Factor of Numerators i.e. GCF of 59,21 is 1 .

LCM of Denominators means LCM of 109,1361 as per the given fractions.

LCM of 109,1361 is 148349 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,21

GCF of Fractions 59/109,21/1361 is 1/148349

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

Greatest Common Factor of 59,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,21 By Matching Biggest Common Factor Method

Factors of 59

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

1,59

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 59,21 . The biggest common factor number is the GCF number.
So the greatest common factor 59,21 is 1.

Lets's calculate LCM of 109,1361

Given numbers has no common factors except 1. So, there LCM is their product i.e 148349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148349

Therefore, the GCF of Fractions 59/109,21/1361 is 1/148349

Least Common Multiple of 109,1361 with GCF Formula

Least Common Multiple of 109,1361 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 109,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,1361) = 1

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

GCF(109,1361) x common factors =1 x 1 = 1

LCM(109,1361) = ( 109 × 1361 ) / 1

LCM(109,1361) = 148349 / 1

LCM(109,1361) = 148349


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 59/109, 21/1361

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 59/109, 21/1361?

Answer: GCF of Numerators as per given numbers 59/109, 21/1361 is

GCF of Numerators i.e. for 59,21 is 1

LCM of denominators i.e. for 109,1361 is 148349.

Thus, GCF of Fractions is 1/148349.Finally, GCF of Fractions for 59/109, 21/1361 is 1/148349.