Greatest Common Factor of 90/609, 20/129, 602/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/609, 20/129, 602/323

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 90/609,20/129,602/323

Given fractions are 90/609,20/129,602/323

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 90,20,602

Greatest Common Factor of Numerators i.e. GCF of 90,20,602 is 2 .

LCM of Denominators means LCM of 609,129,323 as per the given fractions.

LCM of 609,129,323 is 8458401 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,20,602

GCF of Fractions 90/609,20/129,602/323 is 2/8458401

2 90, 20, 602
45, 10, 301

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

Greatest Common Factor of 90,20,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,20,602 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 90,20,602 . The biggest common factor number is the GCF number.
So the greatest common factor 90,20,602 is 2.

Lets's calculate LCM of 609,129,323

3 609, 129, 323
203, 43, 323

∴ So the LCM of the given numbers is 3 x 203 x 43 x 323 = 8458401

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8458401

Therefore, the GCF of Fractions 90/609,20/129,602/323 is 2/8458401

Least Common Multiple of 609,129,323 with GCF Formula

Least Common Multiple of 609,129,323 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 609,129,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,129,323) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(609,129,323) x common factors =1 x 3 = 3

LCM(609,129,323) = ( 609 × 129 × 323 ) / 3

LCM(609,129,323) = 25375203 / 3

LCM(609,129,323) = 8458401


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 90/609, 20/129, 602/323

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 90/609, 20/129, 602/323?

Answer: GCF of Numerators as per given numbers 90/609, 20/129, 602/323 is

GCF of Numerators i.e. for 90,20,602 is 2

LCM of denominators i.e. for 609,129,323 is 8458401.

Thus, GCF of Fractions is 2/8458401.Finally, GCF of Fractions for 90/609, 20/129, 602/323 is 2/8458401.