Greatest Common Factor of 18/89, 76/29, 261/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/89, 76/29, 261/394

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 18/89,76/29,261/394

Given fractions are 18/89,76/29,261/394

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 18,76,261

Greatest Common Factor of Numerators i.e. GCF of 18,76,261 is 1 .

LCM of Denominators means LCM of 89,29,394 as per the given fractions.

LCM of 89,29,394 is 1016914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,76,261

GCF of Fractions 18/89,76/29,261/394 is 1/1016914

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

Greatest Common Factor of 18,76,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,76,261 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 18,76,261 . The biggest common factor number is the GCF number.
So the greatest common factor 18,76,261 is 1.

Lets's calculate LCM of 89,29,394

Given numbers has no common factors except 1. So, there LCM is their product i.e 1016914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016914

Therefore, the GCF of Fractions 18/89,76/29,261/394 is 1/1016914

Least Common Multiple of 89,29,394 with GCF Formula

Least Common Multiple of 89,29,394 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 89,29,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,29,394) = 1

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

GCF(89,29,394) x common factors =1 x 1 = 1

LCM(89,29,394) = ( 89 × 29 × 394 ) / 1

LCM(89,29,394) = 1016914 / 1

LCM(89,29,394) = 1016914


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 18/89, 76/29, 261/394

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 18/89, 76/29, 261/394?

Answer: GCF of Numerators as per given numbers 18/89, 76/29, 261/394 is

GCF of Numerators i.e. for 18,76,261 is 1

LCM of denominators i.e. for 89,29,394 is 1016914.

Thus, GCF of Fractions is 1/1016914.Finally, GCF of Fractions for 18/89, 76/29, 261/394 is 1/1016914.