Greatest Common Factor of 90/338, 594/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/338, 594/353

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 90/338,594/353

Given fractions are 90/338,594/353

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 90,594

Greatest Common Factor of Numerators i.e. GCF of 90,594 is 18 .

LCM of Denominators means LCM of 338,353 as per the given fractions.

LCM of 338,353 is 119314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,594

GCF of Fractions 90/338,594/353 is 18/119314

2 90, 594
3 45, 297
3 15, 99
5, 33

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 90,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,594 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 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 90,594 . The biggest common factor number is the GCF number.
So the greatest common factor 90,594 is 18.

Lets's calculate LCM of 338,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 119314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/119314

Therefore, the GCF of Fractions 90/338,594/353 is 18/119314

Least Common Multiple of 338,353 with GCF Formula

Least Common Multiple of 338,353 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 338,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,353) = 1

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

GCF(338,353) x common factors =1 x 1 = 1

LCM(338,353) = ( 338 × 353 ) / 1

LCM(338,353) = 119314 / 1

LCM(338,353) = 119314


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 90/338, 594/353

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 90/338, 594/353?

Answer: GCF of Numerators as per given numbers 90/338, 594/353 is

GCF of Numerators i.e. for 90,594 is 18

LCM of denominators i.e. for 338,353 is 119314.

Thus, GCF of Fractions is 18/119314.Finally, GCF of Fractions for 90/338, 594/353 is 18/119314.