Greatest Common Factor of 168/36, 615/17, 135/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 168/36, 615/17, 135/406

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 168/36,615/17,135/406

Given fractions are 168/36,615/17,135/406

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 168,615,135

Greatest Common Factor of Numerators i.e. GCF of 168,615,135 is 3 .

LCM of Denominators means LCM of 36,17,406 as per the given fractions.

LCM of 36,17,406 is 124236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,615,135

GCF of Fractions 168/36,615/17,135/406 is 3/124236

3 168, 615, 135
56, 205, 45

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

Greatest Common Factor of 168,615,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,615,135 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 168,615,135 . The biggest common factor number is the GCF number.
So the greatest common factor 168,615,135 is 3.


Lets's calculate LCM of 36,17,406

2 36, 17, 406
18, 17, 203

∴ So the LCM of the given numbers is 2 x 18 x 17 x 203 = 124236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/124236

Therefore, the GCF of Fractions 168/36,615/17,135/406 is 3/124236

Least Common Multiple of 36,17,406 with GCF Formula

Least Common Multiple of 36,17,406 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 36,17,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,17,406) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,17,406) x common factors =1 x 2 = 2

LCM(36,17,406) = ( 36 × 17 × 406 ) / 2

LCM(36,17,406) = 248472 / 2

LCM(36,17,406) = 124236


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 168/36, 615/17, 135/406

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 168/36, 615/17, 135/406?

Answer: GCF of Numerators as per given numbers 168/36, 615/17, 135/406 is

GCF of Numerators i.e. for 168,615,135 is 3

LCM of denominators i.e. for 36,17,406 is 124236.

Thus, GCF of Fractions is 3/124236.Finally, GCF of Fractions for 168/36, 615/17, 135/406 is 3/124236.