Greatest Common Factor of 839/80, 152/72, 101/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 839/80, 152/72, 101/76

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 839/80,152/72,101/76

Given fractions are 839/80,152/72,101/76

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 839,152,101

Greatest Common Factor of Numerators i.e. GCF of 839,152,101 is 1 .

LCM of Denominators means LCM of 80,72,76 as per the given fractions.

LCM of 80,72,76 is 13680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 839,152,101

GCF of Fractions 839/80,152/72,101/76 is 1/13680

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

Greatest Common Factor of 839,152,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,152,101 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 839,152,101 . The biggest common factor number is the GCF number.
So the greatest common factor 839,152,101 is 1.

Lets's calculate LCM of 80,72,76

2 80, 72, 76
2 40, 36, 38
2 20, 18, 19
10, 9, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 9 x 19 = 13680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13680

Therefore, the GCF of Fractions 839/80,152/72,101/76 is 1/13680

Least Common Multiple of 80,72,76 with GCF Formula

Least Common Multiple of 80,72,76 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 80,72,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,72,76) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(80,72,76) x common factors =4 x 8 = 32

LCM(80,72,76) = ( 80 × 72 × 76 ) / 32

LCM(80,72,76) = 437760 / 32

LCM(80,72,76) = 13680


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 839/80, 152/72, 101/76

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 839/80, 152/72, 101/76?

Answer: GCF of Numerators as per given numbers 839/80, 152/72, 101/76 is

GCF of Numerators i.e. for 839,152,101 is 1

LCM of denominators i.e. for 80,72,76 is 13680.

Thus, GCF of Fractions is 1/13680.Finally, GCF of Fractions for 839/80, 152/72, 101/76 is 1/13680.