Greatest Common Factor of 422/4664, 724/6116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 422/4664, 724/6116

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 422/4664,724/6116

Given fractions are 422/4664,724/6116

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 422,724

Greatest Common Factor of Numerators i.e. GCF of 422,724 is 2 .

LCM of Denominators means LCM of 4664,6116 as per the given fractions.

LCM of 4664,6116 is 648296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 422,724

GCF of Fractions 422/4664,724/6116 is 2/648296

2 422, 724
211, 362

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

Greatest Common Factor of 422,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,724 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 422,724 . The biggest common factor number is the GCF number.
So the greatest common factor 422,724 is 2.

Lets's calculate LCM of 4664,6116

2 4664, 6116
2 2332, 3058
11 1166, 1529
106, 139

∴ So the LCM of the given numbers is 2 x 2 x 11 x 106 x 139 = 648296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/648296

Therefore, the GCF of Fractions 422/4664,724/6116 is 2/648296

Least Common Multiple of 4664,6116 with GCF Formula

Least Common Multiple of 4664,6116 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 4664,6116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4664,6116) = 44

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

GCF(4664,6116) x common factors =44 x 1 = 44

LCM(4664,6116) = ( 4664 × 6116 ) / 44

LCM(4664,6116) = 28525024 / 44

LCM(4664,6116) = 648296


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 422/4664, 724/6116

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 422/4664, 724/6116?

Answer: GCF of Numerators as per given numbers 422/4664, 724/6116 is

GCF of Numerators i.e. for 422,724 is 2

LCM of denominators i.e. for 4664,6116 is 648296.

Thus, GCF of Fractions is 2/648296.Finally, GCF of Fractions for 422/4664, 724/6116 is 2/648296.