Greatest Common Factor of 5/81, 96/19, 39/235, 898/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/81, 96/19, 39/235, 898/268

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 5/81,96/19,39/235,898/268

Given fractions are 5/81,96/19,39/235,898/268

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 5,96,39,898

Greatest Common Factor of Numerators i.e. GCF of 5,96,39,898 is 1 .

LCM of Denominators means LCM of 81,19,235,268 as per the given fractions.

LCM of 81,19,235,268 is 96926220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,96,39,898

GCF of Fractions 5/81,96/19,39/235,898/268 is 1/96926220

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

Greatest Common Factor of 5,96,39,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,96,39,898 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 5,96,39,898 . The biggest common factor number is the GCF number.
So the greatest common factor 5,96,39,898 is 1.

Lets's calculate LCM of 81,19,235,268

Given numbers has no common factors except 1. So, there LCM is their product i.e 96926220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96926220

Therefore, the GCF of Fractions 5/81,96/19,39/235,898/268 is 1/96926220

Least Common Multiple of 81,19,235,268 with GCF Formula

Least Common Multiple of 81,19,235,268 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 81,19,235,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,19,235,268) = 1

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

GCF(81,19,235,268) x common factors =1 x 1 = 1

LCM(81,19,235,268) = ( 81 × 19 × 235 × 268 ) / 1

LCM(81,19,235,268) = 96926220 / 1

LCM(81,19,235,268) = 96926220


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 5/81, 96/19, 39/235, 898/268

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 5/81, 96/19, 39/235, 898/268?

Answer: GCF of Numerators as per given numbers 5/81, 96/19, 39/235, 898/268 is

GCF of Numerators i.e. for 5,96,39,898 is 1

LCM of denominators i.e. for 81,19,235,268 is 96926220.

Thus, GCF of Fractions is 1/96926220.Finally, GCF of Fractions for 5/81, 96/19, 39/235, 898/268 is 1/96926220.