Greatest Common Factor of 159/82, 205/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/82, 205/234

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 159/82,205/234

Given fractions are 159/82,205/234

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 159,205

Greatest Common Factor of Numerators i.e. GCF of 159,205 is 1 .

LCM of Denominators means LCM of 82,234 as per the given fractions.

LCM of 82,234 is 9594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,205

GCF of Fractions 159/82,205/234 is 1/9594

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 159,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,205 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 159,205 . The biggest common factor number is the GCF number.
So the greatest common factor 159,205 is 1.

Lets's calculate LCM of 82,234

2 82, 234
41, 117

∴ So the LCM of the given numbers is 2 x 41 x 117 = 9594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9594

Therefore, the GCF of Fractions 159/82,205/234 is 1/9594

Least Common Multiple of 82,234 with GCF Formula

Least Common Multiple of 82,234 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 82,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,234) = 2

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

GCF(82,234) x common factors =2 x 1 = 2

LCM(82,234) = ( 82 × 234 ) / 2

LCM(82,234) = 19188 / 2

LCM(82,234) = 9594


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 159/82, 205/234

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 159/82, 205/234?

Answer: GCF of Numerators as per given numbers 159/82, 205/234 is

GCF of Numerators i.e. for 159,205 is 1

LCM of denominators i.e. for 82,234 is 9594.

Thus, GCF of Fractions is 1/9594.Finally, GCF of Fractions for 159/82, 205/234 is 1/9594.