Greatest Common Factor of 299/64, 512/19, 239/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/64, 512/19, 239/165

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 299/64,512/19,239/165

Given fractions are 299/64,512/19,239/165

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 299,512,239

Greatest Common Factor of Numerators i.e. GCF of 299,512,239 is 1 .

LCM of Denominators means LCM of 64,19,165 as per the given fractions.

LCM of 64,19,165 is 200640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,512,239

GCF of Fractions 299/64,512/19,239/165 is 1/200640

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

Greatest Common Factor of 299,512,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,512,239 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 299,512,239 . The biggest common factor number is the GCF number.
So the greatest common factor 299,512,239 is 1.

Lets's calculate LCM of 64,19,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 200640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200640

Therefore, the GCF of Fractions 299/64,512/19,239/165 is 1/200640

Least Common Multiple of 64,19,165 with GCF Formula

Least Common Multiple of 64,19,165 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 64,19,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,19,165) = 1

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

GCF(64,19,165) x common factors =1 x 1 = 1

LCM(64,19,165) = ( 64 × 19 × 165 ) / 1

LCM(64,19,165) = 200640 / 1

LCM(64,19,165) = 200640


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 299/64, 512/19, 239/165

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 299/64, 512/19, 239/165?

Answer: GCF of Numerators as per given numbers 299/64, 512/19, 239/165 is

GCF of Numerators i.e. for 299,512,239 is 1

LCM of denominators i.e. for 64,19,165 is 200640.

Thus, GCF of Fractions is 1/200640.Finally, GCF of Fractions for 299/64, 512/19, 239/165 is 1/200640.