Greatest Common Factor of 90/418, 434/822, 422/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/418, 434/822, 422/217

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 90/418,434/822,422/217

Given fractions are 90/418,434/822,422/217

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 90,434,422

Greatest Common Factor of Numerators i.e. GCF of 90,434,422 is 2 .

LCM of Denominators means LCM of 418,822,217 as per the given fractions.

LCM of 418,822,217 is 37280166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,434,422

GCF of Fractions 90/418,434/822,422/217 is 2/37280166

2 90, 434, 422
45, 217, 211

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

Greatest Common Factor of 90,434,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,434,422 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 422

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

1,2,211,422

Greatest Common Factor

We found the factors 90,434,422 . The biggest common factor number is the GCF number.
So the greatest common factor 90,434,422 is 2.

Lets's calculate LCM of 418,822,217

2 418, 822, 217
209, 411, 217

∴ So the LCM of the given numbers is 2 x 209 x 411 x 217 = 37280166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37280166

Therefore, the GCF of Fractions 90/418,434/822,422/217 is 2/37280166

Least Common Multiple of 418,822,217 with GCF Formula

Least Common Multiple of 418,822,217 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 418,822,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,822,217) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(418,822,217) x common factors =1 x 2 = 2

LCM(418,822,217) = ( 418 × 822 × 217 ) / 2

LCM(418,822,217) = 74560332 / 2

LCM(418,822,217) = 37280166


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 90/418, 434/822, 422/217

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 90/418, 434/822, 422/217?

Answer: GCF of Numerators as per given numbers 90/418, 434/822, 422/217 is

GCF of Numerators i.e. for 90,434,422 is 2

LCM of denominators i.e. for 418,822,217 is 37280166.

Thus, GCF of Fractions is 2/37280166.Finally, GCF of Fractions for 90/418, 434/822, 422/217 is 2/37280166.