Greatest Common Factor of 9/46, 72/55, 57/351, 231/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/46, 72/55, 57/351, 231/179

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 9/46,72/55,57/351,231/179

Given fractions are 9/46,72/55,57/351,231/179

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 9,72,57,231

Greatest Common Factor of Numerators i.e. GCF of 9,72,57,231 is 3 .

LCM of Denominators means LCM of 46,55,351,179 as per the given fractions.

LCM of 46,55,351,179 is 158957370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,72,57,231

GCF of Fractions 9/46,72/55,57/351,231/179 is 3/158957370

3 9, 72, 57, 231
3, 24, 19, 77

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

Greatest Common Factor of 9,72,57,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,72,57,231 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 9,72,57,231 . The biggest common factor number is the GCF number.
So the greatest common factor 9,72,57,231 is 3.

Lets's calculate LCM of 46,55,351,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 158957370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/158957370

Therefore, the GCF of Fractions 9/46,72/55,57/351,231/179 is 3/158957370

Least Common Multiple of 46,55,351,179 with GCF Formula

Least Common Multiple of 46,55,351,179 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 46,55,351,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,55,351,179) = 1

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

GCF(46,55,351,179) x common factors =1 x 1 = 1

LCM(46,55,351,179) = ( 46 × 55 × 351 × 179 ) / 1

LCM(46,55,351,179) = 158957370 / 1

LCM(46,55,351,179) = 158957370


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 9/46, 72/55, 57/351, 231/179

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 9/46, 72/55, 57/351, 231/179?

Answer: GCF of Numerators as per given numbers 9/46, 72/55, 57/351, 231/179 is

GCF of Numerators i.e. for 9,72,57,231 is 3

LCM of denominators i.e. for 46,55,351,179 is 158957370.

Thus, GCF of Fractions is 3/158957370.Finally, GCF of Fractions for 9/46, 72/55, 57/351, 231/179 is 3/158957370.