Greatest Common Factor of 642/359, 4226/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/359, 4226/738

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 642/359,4226/738

Given fractions are 642/359,4226/738

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 642,4226

Greatest Common Factor of Numerators i.e. GCF of 642,4226 is 2 .

LCM of Denominators means LCM of 359,738 as per the given fractions.

LCM of 359,738 is 264942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,4226

GCF of Fractions 642/359,4226/738 is 2/264942

2 642, 4226
321, 2113

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 642,4226 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,4226 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 4226

List of positive integer factors of 4226 that divides 4226 without a remainder.

1,2,2113,4226

Greatest Common Factor

We found the factors 642,4226 . The biggest common factor number is the GCF number.
So the greatest common factor 642,4226 is 2.

Lets's calculate LCM of 359,738

Given numbers has no common factors except 1. So, there LCM is their product i.e 264942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264942

Therefore, the GCF of Fractions 642/359,4226/738 is 2/264942

Least Common Multiple of 359,738 with GCF Formula

Least Common Multiple of 359,738 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 359,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,738) = 1

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

GCF(359,738) x common factors =1 x 1 = 1

LCM(359,738) = ( 359 × 738 ) / 1

LCM(359,738) = 264942 / 1

LCM(359,738) = 264942


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 642/359, 4226/738

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 642/359, 4226/738?

Answer: GCF of Numerators as per given numbers 642/359, 4226/738 is

GCF of Numerators i.e. for 642,4226 is 2

LCM of denominators i.e. for 359,738 is 264942.

Thus, GCF of Fractions is 2/264942.Finally, GCF of Fractions for 642/359, 4226/738 is 2/264942.