Greatest Common Factor of 936/167, 540/907, 288/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/167, 540/907, 288/472

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 936/167,540/907,288/472

Given fractions are 936/167,540/907,288/472

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 936,540,288

Greatest Common Factor of Numerators i.e. GCF of 936,540,288 is 36 .

LCM of Denominators means LCM of 167,907,472 as per the given fractions.

LCM of 167,907,472 is 71493368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,540,288

GCF of Fractions 936/167,540/907,288/472 is 36/71493368

2 936, 540, 288
2 468, 270, 144
3 234, 135, 72
3 78, 45, 24
26, 15, 8

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 936,540,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,540,288 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

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 936,540,288 . The biggest common factor number is the GCF number.
So the greatest common factor 936,540,288 is 36.

Lets's calculate LCM of 167,907,472

Given numbers has no common factors except 1. So, there LCM is their product i.e 71493368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/71493368

Therefore, the GCF of Fractions 936/167,540/907,288/472 is 36/71493368

Least Common Multiple of 167,907,472 with GCF Formula

Least Common Multiple of 167,907,472 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 167,907,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,907,472) = 1

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

GCF(167,907,472) x common factors =1 x 1 = 1

LCM(167,907,472) = ( 167 × 907 × 472 ) / 1

LCM(167,907,472) = 71493368 / 1

LCM(167,907,472) = 71493368


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 936/167, 540/907, 288/472

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 936/167, 540/907, 288/472?

Answer: GCF of Numerators as per given numbers 936/167, 540/907, 288/472 is

GCF of Numerators i.e. for 936,540,288 is 36

LCM of denominators i.e. for 167,907,472 is 71493368.

Thus, GCF of Fractions is 36/71493368.Finally, GCF of Fractions for 936/167, 540/907, 288/472 is 36/71493368.