Greatest Common Factor of 9336/72, 3186/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9336/72, 3186/145

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 9336/72,3186/145

Given fractions are 9336/72,3186/145

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 9336,3186

Greatest Common Factor of Numerators i.e. GCF of 9336,3186 is 6 .

LCM of Denominators means LCM of 72,145 as per the given fractions.

LCM of 72,145 is 10440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9336,3186

GCF of Fractions 9336/72,3186/145 is 6/10440

2 9336, 3186
3 4668, 1593
1556, 531

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9336,3186 By Matching Biggest Common Factor Method

Greatest Common Factor of 9336,3186 By Matching Biggest Common Factor Method

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336

Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Greatest Common Factor

We found the factors 9336,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,3186 is 6.

Lets's calculate LCM of 72,145

Given numbers has no common factors except 1. So, there LCM is their product i.e 10440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10440

Therefore, the GCF of Fractions 9336/72,3186/145 is 6/10440

Least Common Multiple of 72,145 with GCF Formula

Least Common Multiple of 72,145 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 72,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,145) = 1

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

GCF(72,145) x common factors =1 x 1 = 1

LCM(72,145) = ( 72 × 145 ) / 1

LCM(72,145) = 10440 / 1

LCM(72,145) = 10440


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 9336/72, 3186/145

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 9336/72, 3186/145?

Answer: GCF of Numerators as per given numbers 9336/72, 3186/145 is

GCF of Numerators i.e. for 9336,3186 is 6

LCM of denominators i.e. for 72,145 is 10440.

Thus, GCF of Fractions is 6/10440.Finally, GCF of Fractions for 9336/72, 3186/145 is 6/10440.