Greatest Common Factor of 93/264, 141/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/264, 141/186

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 93/264,141/186

Given fractions are 93/264,141/186

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 93,141

Greatest Common Factor of Numerators i.e. GCF of 93,141 is 3 .

LCM of Denominators means LCM of 264,186 as per the given fractions.

LCM of 264,186 is 8184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,141

GCF of Fractions 93/264,141/186 is 3/8184

3 93, 141
31, 47

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

Greatest Common Factor of 93,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,141 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 93,141 . The biggest common factor number is the GCF number.
So the greatest common factor 93,141 is 3.

Lets's calculate LCM of 264,186

2 264, 186
3 132, 93
44, 31

∴ So the LCM of the given numbers is 2 x 3 x 44 x 31 = 8184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8184

Therefore, the GCF of Fractions 93/264,141/186 is 3/8184

Least Common Multiple of 264,186 with GCF Formula

Least Common Multiple of 264,186 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 264,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,186) = 6

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

GCF(264,186) x common factors =6 x 1 = 6

LCM(264,186) = ( 264 × 186 ) / 6

LCM(264,186) = 49104 / 6

LCM(264,186) = 8184


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 93/264, 141/186

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 93/264, 141/186?

Answer: GCF of Numerators as per given numbers 93/264, 141/186 is

GCF of Numerators i.e. for 93,141 is 3

LCM of denominators i.e. for 264,186 is 8184.

Thus, GCF of Fractions is 3/8184.Finally, GCF of Fractions for 93/264, 141/186 is 3/8184.