Greatest Common Factor of 96/20, 42/46, 427/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/20, 42/46, 427/259

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 96/20,42/46,427/259

Given fractions are 96/20,42/46,427/259

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 96,42,427

Greatest Common Factor of Numerators i.e. GCF of 96,42,427 is 1 .

LCM of Denominators means LCM of 20,46,259 as per the given fractions.

LCM of 20,46,259 is 119140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,42,427

GCF of Fractions 96/20,42/46,427/259 is 1/119140

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

Greatest Common Factor of 96,42,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,42,427 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 96,42,427 . The biggest common factor number is the GCF number.
So the greatest common factor 96,42,427 is 1.

Lets's calculate LCM of 20,46,259

2 20, 46, 259
10, 23, 259

∴ So the LCM of the given numbers is 2 x 10 x 23 x 259 = 119140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119140

Therefore, the GCF of Fractions 96/20,42/46,427/259 is 1/119140

Least Common Multiple of 20,46,259 with GCF Formula

Least Common Multiple of 20,46,259 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 20,46,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,46,259) = 1

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

GCF(20,46,259) x common factors =1 x 2 = 2

LCM(20,46,259) = ( 20 × 46 × 259 ) / 2

LCM(20,46,259) = 238280 / 2

LCM(20,46,259) = 119140


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 96/20, 42/46, 427/259

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 96/20, 42/46, 427/259?

Answer: GCF of Numerators as per given numbers 96/20, 42/46, 427/259 is

GCF of Numerators i.e. for 96,42,427 is 1

LCM of denominators i.e. for 20,46,259 is 119140.

Thus, GCF of Fractions is 1/119140.Finally, GCF of Fractions for 96/20, 42/46, 427/259 is 1/119140.