Greatest Common Factor of 165/30, 931/27, 138/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/30, 931/27, 138/492

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 165/30,931/27,138/492

Given fractions are 165/30,931/27,138/492

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 165,931,138

Greatest Common Factor of Numerators i.e. GCF of 165,931,138 is 1 .

LCM of Denominators means LCM of 30,27,492 as per the given fractions.

LCM of 30,27,492 is 22140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,931,138

GCF of Fractions 165/30,931/27,138/492 is 1/22140

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 165,931,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,931,138 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 165,931,138 . The biggest common factor number is the GCF number.
So the greatest common factor 165,931,138 is 1.

Lets's calculate LCM of 30,27,492

2 30, 27, 492
3 15, 27, 246
5, 9, 82

∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 82 = 22140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22140

Therefore, the GCF of Fractions 165/30,931/27,138/492 is 1/22140

Least Common Multiple of 30,27,492 with GCF Formula

Least Common Multiple of 30,27,492 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 30,27,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,27,492) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(30,27,492) x common factors =3 x 6 = 18

LCM(30,27,492) = ( 30 × 27 × 492 ) / 18

LCM(30,27,492) = 398520 / 18

LCM(30,27,492) = 22140


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 165/30, 931/27, 138/492

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 165/30, 931/27, 138/492?

Answer: GCF of Numerators as per given numbers 165/30, 931/27, 138/492 is

GCF of Numerators i.e. for 165,931,138 is 1

LCM of denominators i.e. for 30,27,492 is 22140.

Thus, GCF of Fractions is 1/22140.Finally, GCF of Fractions for 165/30, 931/27, 138/492 is 1/22140.