Greatest Common Factor of 72/234, 828/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/234, 828/391

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 72/234,828/391

Given fractions are 72/234,828/391

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 72,828

Greatest Common Factor of Numerators i.e. GCF of 72,828 is 36 .

LCM of Denominators means LCM of 234,391 as per the given fractions.

LCM of 234,391 is 91494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,828

GCF of Fractions 72/234,828/391 is 36/91494

2 72, 828
2 36, 414
3 18, 207
3 6, 69
2, 23

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

Greatest Common Factor of 72,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,828 By Matching Biggest Common Factor Method

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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 72,828 . The biggest common factor number is the GCF number.
So the greatest common factor 72,828 is 36.

Lets's calculate LCM of 234,391

Given numbers has no common factors except 1. So, there LCM is their product i.e 91494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/91494

Therefore, the GCF of Fractions 72/234,828/391 is 36/91494

Least Common Multiple of 234,391 with GCF Formula

Least Common Multiple of 234,391 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 234,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,391) = 1

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

GCF(234,391) x common factors =1 x 1 = 1

LCM(234,391) = ( 234 × 391 ) / 1

LCM(234,391) = 91494 / 1

LCM(234,391) = 91494


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 72/234, 828/391

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 72/234, 828/391?

Answer: GCF of Numerators as per given numbers 72/234, 828/391 is

GCF of Numerators i.e. for 72,828 is 36

LCM of denominators i.e. for 234,391 is 91494.

Thus, GCF of Fractions is 36/91494.Finally, GCF of Fractions for 72/234, 828/391 is 36/91494.