Greatest Common Factor of 20/34, 65/86, 119/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/34, 65/86, 119/431

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 20/34,65/86,119/431

Given fractions are 20/34,65/86,119/431

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 20,65,119

Greatest Common Factor of Numerators i.e. GCF of 20,65,119 is 1 .

LCM of Denominators means LCM of 34,86,431 as per the given fractions.

LCM of 34,86,431 is 630122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,65,119

GCF of Fractions 20/34,65/86,119/431 is 1/630122

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

Greatest Common Factor of 20,65,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,65,119 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 20,65,119 . The biggest common factor number is the GCF number.
So the greatest common factor 20,65,119 is 1.

Lets's calculate LCM of 34,86,431

2 34, 86, 431
17, 43, 431

∴ So the LCM of the given numbers is 2 x 17 x 43 x 431 = 630122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630122

Therefore, the GCF of Fractions 20/34,65/86,119/431 is 1/630122

Least Common Multiple of 34,86,431 with GCF Formula

Least Common Multiple of 34,86,431 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 34,86,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,86,431) = 1

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

GCF(34,86,431) x common factors =1 x 2 = 2

LCM(34,86,431) = ( 34 × 86 × 431 ) / 2

LCM(34,86,431) = 1260244 / 2

LCM(34,86,431) = 630122


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 20/34, 65/86, 119/431

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 20/34, 65/86, 119/431?

Answer: GCF of Numerators as per given numbers 20/34, 65/86, 119/431 is

GCF of Numerators i.e. for 20,65,119 is 1

LCM of denominators i.e. for 34,86,431 is 630122.

Thus, GCF of Fractions is 1/630122.Finally, GCF of Fractions for 20/34, 65/86, 119/431 is 1/630122.