Greatest Common Factor of 159/72, 999/39, 763/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/72, 999/39, 763/412

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 159/72,999/39,763/412

Given fractions are 159/72,999/39,763/412

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 159,999,763

Greatest Common Factor of Numerators i.e. GCF of 159,999,763 is 1 .

LCM of Denominators means LCM of 72,39,412 as per the given fractions.

LCM of 72,39,412 is 96408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,999,763

GCF of Fractions 159/72,999/39,763/412 is 1/96408

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

Greatest Common Factor of 159,999,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,999,763 By Matching Biggest Common Factor Method

Factors of 159

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

1,3,53,159

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 159,999,763 . The biggest common factor number is the GCF number.
So the greatest common factor 159,999,763 is 1.

Lets's calculate LCM of 72,39,412

2 72, 39, 412
2 36, 39, 206
3 18, 39, 103
6, 13, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 13 x 103 = 96408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96408

Therefore, the GCF of Fractions 159/72,999/39,763/412 is 1/96408

Least Common Multiple of 72,39,412 with GCF Formula

Least Common Multiple of 72,39,412 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 72,39,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,39,412) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(72,39,412) x common factors =1 x 12 = 12

LCM(72,39,412) = ( 72 × 39 × 412 ) / 12

LCM(72,39,412) = 1156896 / 12

LCM(72,39,412) = 96408


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 159/72, 999/39, 763/412

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 159/72, 999/39, 763/412?

Answer: GCF of Numerators as per given numbers 159/72, 999/39, 763/412 is

GCF of Numerators i.e. for 159,999,763 is 1

LCM of denominators i.e. for 72,39,412 is 96408.

Thus, GCF of Fractions is 1/96408.Finally, GCF of Fractions for 159/72, 999/39, 763/412 is 1/96408.