Greatest Common Factor of 72/186, 28/8409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/186, 28/8409

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 72/186,28/8409

Given fractions are 72/186,28/8409

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 72,28

Greatest Common Factor of Numerators i.e. GCF of 72,28 is 4 .

LCM of Denominators means LCM of 186,8409 as per the given fractions.

LCM of 186,8409 is 521358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,28

GCF of Fractions 72/186,28/8409 is 4/521358

2 72, 28
2 36, 14
18, 7

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 72,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,28 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 72,28 . The biggest common factor number is the GCF number.
So the greatest common factor 72,28 is 4.

Lets's calculate LCM of 186,8409

3 186, 8409
62, 2803

∴ So the LCM of the given numbers is 3 x 62 x 2803 = 521358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/521358

Therefore, the GCF of Fractions 72/186,28/8409 is 4/521358

Least Common Multiple of 186,8409 with GCF Formula

Least Common Multiple of 186,8409 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 186,8409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,8409) = 3

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

GCF(186,8409) x common factors =3 x 1 = 3

LCM(186,8409) = ( 186 × 8409 ) / 3

LCM(186,8409) = 1564074 / 3

LCM(186,8409) = 521358


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 72/186, 28/8409

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 72/186, 28/8409?

Answer: GCF of Numerators as per given numbers 72/186, 28/8409 is

GCF of Numerators i.e. for 72,28 is 4

LCM of denominators i.e. for 186,8409 is 521358.

Thus, GCF of Fractions is 4/521358.Finally, GCF of Fractions for 72/186, 28/8409 is 4/521358.