Greatest Common Factor of 359/627, 2226/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/627, 2226/589

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 359/627,2226/589

Given fractions are 359/627,2226/589

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 359,2226

Greatest Common Factor of Numerators i.e. GCF of 359,2226 is 1 .

LCM of Denominators means LCM of 627,589 as per the given fractions.

LCM of 627,589 is 19437 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,2226

GCF of Fractions 359/627,2226/589 is 1/19437

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

Greatest Common Factor of 359,2226 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,2226 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226

Greatest Common Factor

We found the factors 359,2226 . The biggest common factor number is the GCF number.
So the greatest common factor 359,2226 is 1.

Lets's calculate LCM of 627,589

19 627, 589
33, 31

∴ So the LCM of the given numbers is 19 x 33 x 31 = 19437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19437

Therefore, the GCF of Fractions 359/627,2226/589 is 1/19437

Least Common Multiple of 627,589 with GCF Formula

Least Common Multiple of 627,589 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 627,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,589) = 19

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

GCF(627,589) x common factors =19 x 1 = 19

LCM(627,589) = ( 627 × 589 ) / 19

LCM(627,589) = 369303 / 19

LCM(627,589) = 19437


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 359/627, 2226/589

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 359/627, 2226/589?

Answer: GCF of Numerators as per given numbers 359/627, 2226/589 is

GCF of Numerators i.e. for 359,2226 is 1

LCM of denominators i.e. for 627,589 is 19437.

Thus, GCF of Fractions is 1/19437.Finally, GCF of Fractions for 359/627, 2226/589 is 1/19437.