Greatest Common Factor of 9022/406, 4718/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9022/406, 4718/438

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 9022/406,4718/438

Given fractions are 9022/406,4718/438

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 9022,4718

Greatest Common Factor of Numerators i.e. GCF of 9022,4718 is 2 .

LCM of Denominators means LCM of 406,438 as per the given fractions.

LCM of 406,438 is 88914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9022,4718

GCF of Fractions 9022/406,4718/438 is 2/88914

2 9022, 4718
4511, 2359

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

Greatest Common Factor of 9022,4718 By Matching Biggest Common Factor Method

Greatest Common Factor of 9022,4718 By Matching Biggest Common Factor Method

Factors of 9022

List of positive integer factors of 9022 that divides 9022 without a remainder.

1,2,13,26,347,694,4511,9022

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1,2,7,14,337,674,2359,4718

Greatest Common Factor

We found the factors 9022,4718 . The biggest common factor number is the GCF number.
So the greatest common factor 9022,4718 is 2.

Lets's calculate LCM of 406,438

2 406, 438
203, 219

∴ So the LCM of the given numbers is 2 x 203 x 219 = 88914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88914

Therefore, the GCF of Fractions 9022/406,4718/438 is 2/88914

Least Common Multiple of 406,438 with GCF Formula

Least Common Multiple of 406,438 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 406,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,438) = 2

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

GCF(406,438) x common factors =2 x 1 = 2

LCM(406,438) = ( 406 × 438 ) / 2

LCM(406,438) = 177828 / 2

LCM(406,438) = 88914


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 9022/406, 4718/438

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 9022/406, 4718/438?

Answer: GCF of Numerators as per given numbers 9022/406, 4718/438 is

GCF of Numerators i.e. for 9022,4718 is 2

LCM of denominators i.e. for 406,438 is 88914.

Thus, GCF of Fractions is 2/88914.Finally, GCF of Fractions for 9022/406, 4718/438 is 2/88914.