Greatest Common Factor of 795/23, 801/69, 144/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/23, 801/69, 144/32

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 795/23,801/69,144/32

Given fractions are 795/23,801/69,144/32

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 795,801,144

Greatest Common Factor of Numerators i.e. GCF of 795,801,144 is 3 .

LCM of Denominators means LCM of 23,69,32 as per the given fractions.

LCM of 23,69,32 is 2208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,801,144

GCF of Fractions 795/23,801/69,144/32 is 3/2208

3 795, 801, 144
265, 267, 48

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

Greatest Common Factor of 795,801,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,801,144 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 795,801,144 . The biggest common factor number is the GCF number.
So the greatest common factor 795,801,144 is 3.

Lets's calculate LCM of 23,69,32

23 23, 69, 32
1, 3, 32

∴ So the LCM of the given numbers is 23 x 1 x 3 x 32 = 2208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2208

Therefore, the GCF of Fractions 795/23,801/69,144/32 is 3/2208

Least Common Multiple of 23,69,32 with GCF Formula

Least Common Multiple of 23,69,32 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 23,69,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,69,32) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,69,32) x common factors =1 x 23 = 23

LCM(23,69,32) = ( 23 × 69 × 32 ) / 23

LCM(23,69,32) = 50784 / 23

LCM(23,69,32) = 2208


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 795/23, 801/69, 144/32

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 795/23, 801/69, 144/32?

Answer: GCF of Numerators as per given numbers 795/23, 801/69, 144/32 is

GCF of Numerators i.e. for 795,801,144 is 3

LCM of denominators i.e. for 23,69,32 is 2208.

Thus, GCF of Fractions is 3/2208.Finally, GCF of Fractions for 795/23, 801/69, 144/32 is 3/2208.