Greatest Common Factor of 135/17, 336/75, 225/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/17, 336/75, 225/511

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 135/17,336/75,225/511

Given fractions are 135/17,336/75,225/511

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 135,336,225

Greatest Common Factor of Numerators i.e. GCF of 135,336,225 is 3 .

LCM of Denominators means LCM of 17,75,511 as per the given fractions.

LCM of 17,75,511 is 651525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,336,225

GCF of Fractions 135/17,336/75,225/511 is 3/651525

3 135, 336, 225
45, 112, 75

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

Greatest Common Factor of 135,336,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,336,225 By Matching Biggest Common Factor Method

Factors of 135

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

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

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 135,336,225 . The biggest common factor number is the GCF number.
So the greatest common factor 135,336,225 is 3.

Lets's calculate LCM of 17,75,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 651525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/651525

Therefore, the GCF of Fractions 135/17,336/75,225/511 is 3/651525

Least Common Multiple of 17,75,511 with GCF Formula

Least Common Multiple of 17,75,511 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 17,75,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,75,511) = 1

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

GCF(17,75,511) x common factors =1 x 1 = 1

LCM(17,75,511) = ( 17 × 75 × 511 ) / 1

LCM(17,75,511) = 651525 / 1

LCM(17,75,511) = 651525


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 135/17, 336/75, 225/511

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 135/17, 336/75, 225/511?

Answer: GCF of Numerators as per given numbers 135/17, 336/75, 225/511 is

GCF of Numerators i.e. for 135,336,225 is 3

LCM of denominators i.e. for 17,75,511 is 651525.

Thus, GCF of Fractions is 3/651525.Finally, GCF of Fractions for 135/17, 336/75, 225/511 is 3/651525.