Greatest Common Factor of 243/32, 765/25, 363/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/32, 765/25, 363/174

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 243/32,765/25,363/174

Given fractions are 243/32,765/25,363/174

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 243,765,363

Greatest Common Factor of Numerators i.e. GCF of 243,765,363 is 3 .

LCM of Denominators means LCM of 32,25,174 as per the given fractions.

LCM of 32,25,174 is 69600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,765,363

GCF of Fractions 243/32,765/25,363/174 is 3/69600

3 243, 765, 363
81, 255, 121

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

Greatest Common Factor of 243,765,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,765,363 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 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 243,765,363 . The biggest common factor number is the GCF number.
So the greatest common factor 243,765,363 is 3.

Lets's calculate LCM of 32,25,174

2 32, 25, 174
16, 25, 87

∴ So the LCM of the given numbers is 2 x 16 x 25 x 87 = 69600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69600

Therefore, the GCF of Fractions 243/32,765/25,363/174 is 3/69600

Least Common Multiple of 32,25,174 with GCF Formula

Least Common Multiple of 32,25,174 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 32,25,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,25,174) = 1

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

GCF(32,25,174) x common factors =1 x 2 = 2

LCM(32,25,174) = ( 32 × 25 × 174 ) / 2

LCM(32,25,174) = 139200 / 2

LCM(32,25,174) = 69600


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 243/32, 765/25, 363/174

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 243/32, 765/25, 363/174?

Answer: GCF of Numerators as per given numbers 243/32, 765/25, 363/174 is

GCF of Numerators i.e. for 243,765,363 is 3

LCM of denominators i.e. for 32,25,174 is 69600.

Thus, GCF of Fractions is 3/69600.Finally, GCF of Fractions for 243/32, 765/25, 363/174 is 3/69600.