Greatest Common Factor of 337/31, 159/76, 288/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/31, 159/76, 288/222

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 337/31,159/76,288/222

Given fractions are 337/31,159/76,288/222

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 337,159,288

Greatest Common Factor of Numerators i.e. GCF of 337,159,288 is 1 .

LCM of Denominators means LCM of 31,76,222 as per the given fractions.

LCM of 31,76,222 is 261516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,159,288

GCF of Fractions 337/31,159/76,288/222 is 1/261516

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

Greatest Common Factor of 337,159,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,159,288 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 337,159,288 . The biggest common factor number is the GCF number.
So the greatest common factor 337,159,288 is 1.

Lets's calculate LCM of 31,76,222

2 31, 76, 222
31, 38, 111

∴ So the LCM of the given numbers is 2 x 31 x 38 x 111 = 261516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261516

Therefore, the GCF of Fractions 337/31,159/76,288/222 is 1/261516

Least Common Multiple of 31,76,222 with GCF Formula

Least Common Multiple of 31,76,222 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 31,76,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,76,222) = 1

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

GCF(31,76,222) x common factors =1 x 2 = 2

LCM(31,76,222) = ( 31 × 76 × 222 ) / 2

LCM(31,76,222) = 523032 / 2

LCM(31,76,222) = 261516


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 337/31, 159/76, 288/222

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 337/31, 159/76, 288/222?

Answer: GCF of Numerators as per given numbers 337/31, 159/76, 288/222 is

GCF of Numerators i.e. for 337,159,288 is 1

LCM of denominators i.e. for 31,76,222 is 261516.

Thus, GCF of Fractions is 1/261516.Finally, GCF of Fractions for 337/31, 159/76, 288/222 is 1/261516.