Greatest Common Factor of 72/112, 357/817, 144/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/112, 357/817, 144/367

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 72/112,357/817,144/367

Given fractions are 72/112,357/817,144/367

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 72,357,144

Greatest Common Factor of Numerators i.e. GCF of 72,357,144 is 3 .

LCM of Denominators means LCM of 112,817,367 as per the given fractions.

LCM of 112,817,367 is 33581968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,357,144

GCF of Fractions 72/112,357/817,144/367 is 3/33581968

3 72, 357, 144
24, 119, 48

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

Greatest Common Factor of 72,357,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,357,144 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 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 72,357,144 . The biggest common factor number is the GCF number.
So the greatest common factor 72,357,144 is 3.

Lets's calculate LCM of 112,817,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 33581968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33581968

Therefore, the GCF of Fractions 72/112,357/817,144/367 is 3/33581968

Least Common Multiple of 112,817,367 with GCF Formula

Least Common Multiple of 112,817,367 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 112,817,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,817,367) = 1

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

GCF(112,817,367) x common factors =1 x 1 = 1

LCM(112,817,367) = ( 112 × 817 × 367 ) / 1

LCM(112,817,367) = 33581968 / 1

LCM(112,817,367) = 33581968


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 72/112, 357/817, 144/367

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 72/112, 357/817, 144/367?

Answer: GCF of Numerators as per given numbers 72/112, 357/817, 144/367 is

GCF of Numerators i.e. for 72,357,144 is 3

LCM of denominators i.e. for 112,817,367 is 33581968.

Thus, GCF of Fractions is 3/33581968.Finally, GCF of Fractions for 72/112, 357/817, 144/367 is 3/33581968.