Greatest Common Factor of 243/17, 151/36, 633/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/17, 151/36, 633/289

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 243/17,151/36,633/289

Given fractions are 243/17,151/36,633/289

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 243,151,633

Greatest Common Factor of Numerators i.e. GCF of 243,151,633 is 1 .

LCM of Denominators means LCM of 17,36,289 as per the given fractions.

LCM of 17,36,289 is 10404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,151,633

GCF of Fractions 243/17,151/36,633/289 is 1/10404

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

Greatest Common Factor of 243,151,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,151,633 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 243,151,633 . The biggest common factor number is the GCF number.
So the greatest common factor 243,151,633 is 1.

Lets's calculate LCM of 17,36,289

17 17, 36, 289
1, 36, 17

∴ So the LCM of the given numbers is 17 x 1 x 36 x 17 = 10404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10404

Therefore, the GCF of Fractions 243/17,151/36,633/289 is 1/10404

Least Common Multiple of 17,36,289 with GCF Formula

Least Common Multiple of 17,36,289 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 17,36,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,36,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,36,289) x common factors =1 x 17 = 17

LCM(17,36,289) = ( 17 × 36 × 289 ) / 17

LCM(17,36,289) = 176868 / 17

LCM(17,36,289) = 10404


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 243/17, 151/36, 633/289

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 243/17, 151/36, 633/289?

Answer: GCF of Numerators as per given numbers 243/17, 151/36, 633/289 is

GCF of Numerators i.e. for 243,151,633 is 1

LCM of denominators i.e. for 17,36,289 is 10404.

Thus, GCF of Fractions is 1/10404.Finally, GCF of Fractions for 243/17, 151/36, 633/289 is 1/10404.