Greatest Common Factor of 665/233, 144/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/233, 144/916

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 665/233,144/916

Given fractions are 665/233,144/916

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 665,144

Greatest Common Factor of Numerators i.e. GCF of 665,144 is 1 .

LCM of Denominators means LCM of 233,916 as per the given fractions.

LCM of 233,916 is 213428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,144

GCF of Fractions 665/233,144/916 is 1/213428

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

Greatest Common Factor of 665,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,144 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

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 665,144 . The biggest common factor number is the GCF number.
So the greatest common factor 665,144 is 1.

Lets's calculate LCM of 233,916

Given numbers has no common factors except 1. So, there LCM is their product i.e 213428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213428

Therefore, the GCF of Fractions 665/233,144/916 is 1/213428

Least Common Multiple of 233,916 with GCF Formula

Least Common Multiple of 233,916 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 233,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,916) = 1

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

GCF(233,916) x common factors =1 x 1 = 1

LCM(233,916) = ( 233 × 916 ) / 1

LCM(233,916) = 213428 / 1

LCM(233,916) = 213428


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 665/233, 144/916

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 665/233, 144/916?

Answer: GCF of Numerators as per given numbers 665/233, 144/916 is

GCF of Numerators i.e. for 665,144 is 1

LCM of denominators i.e. for 233,916 is 213428.

Thus, GCF of Fractions is 1/213428.Finally, GCF of Fractions for 665/233, 144/916 is 1/213428.