Greatest Common Factor of 891/68, 537/89, 309/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 891/68, 537/89, 309/136

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 891/68,537/89,309/136

Given fractions are 891/68,537/89,309/136

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 891,537,309

Greatest Common Factor of Numerators i.e. GCF of 891,537,309 is 3 .

LCM of Denominators means LCM of 68,89,136 as per the given fractions.

LCM of 68,89,136 is 12104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 891,537,309

GCF of Fractions 891/68,537/89,309/136 is 3/12104

3 891, 537, 309
297, 179, 103

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 891,537,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,537,309 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 891,537,309 . The biggest common factor number is the GCF number.
So the greatest common factor 891,537,309 is 3.

Lets's calculate LCM of 68,89,136

2 68, 89, 136
2 34, 89, 68
17 17, 89, 34
1, 89, 2

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 89 x 2 = 12104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12104

Therefore, the GCF of Fractions 891/68,537/89,309/136 is 3/12104

Least Common Multiple of 68,89,136 with GCF Formula

Least Common Multiple of 68,89,136 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 68,89,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,89,136) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(68,89,136) x common factors =1 x 68 = 68

LCM(68,89,136) = ( 68 × 89 × 136 ) / 68

LCM(68,89,136) = 823072 / 68

LCM(68,89,136) = 12104


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 891/68, 537/89, 309/136

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 891/68, 537/89, 309/136?

Answer: GCF of Numerators as per given numbers 891/68, 537/89, 309/136 is

GCF of Numerators i.e. for 891,537,309 is 3

LCM of denominators i.e. for 68,89,136 is 12104.

Thus, GCF of Fractions is 3/12104.Finally, GCF of Fractions for 891/68, 537/89, 309/136 is 3/12104.