Greatest Common Factor of 72/242, 2193/3656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/242, 2193/3656

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 72/242,2193/3656

Given fractions are 72/242,2193/3656

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 72,2193

Greatest Common Factor of Numerators i.e. GCF of 72,2193 is 3 .

LCM of Denominators means LCM of 242,3656 as per the given fractions.

LCM of 242,3656 is 442376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,2193

GCF of Fractions 72/242,2193/3656 is 3/442376

3 72, 2193
24, 731

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 72,2193 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,2193 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 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1,3,17,43,51,129,731,2193

Greatest Common Factor

We found the factors 72,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2193 is 3.

Lets's calculate LCM of 242,3656

2 242, 3656
121, 1828

∴ So the LCM of the given numbers is 2 x 121 x 1828 = 442376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/442376

Therefore, the GCF of Fractions 72/242,2193/3656 is 3/442376

Least Common Multiple of 242,3656 with GCF Formula

Least Common Multiple of 242,3656 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 242,3656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,3656) = 2

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

GCF(242,3656) x common factors =2 x 1 = 2

LCM(242,3656) = ( 242 × 3656 ) / 2

LCM(242,3656) = 884752 / 2

LCM(242,3656) = 442376


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 72/242, 2193/3656

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 72/242, 2193/3656?

Answer: GCF of Numerators as per given numbers 72/242, 2193/3656 is

GCF of Numerators i.e. for 72,2193 is 3

LCM of denominators i.e. for 242,3656 is 442376.

Thus, GCF of Fractions is 3/442376.Finally, GCF of Fractions for 72/242, 2193/3656 is 3/442376.