Greatest Common Factor of 239/17, 7205/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/17, 7205/301

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 239/17,7205/301

Given fractions are 239/17,7205/301

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 239,7205

Greatest Common Factor of Numerators i.e. GCF of 239,7205 is 1 .

LCM of Denominators means LCM of 17,301 as per the given fractions.

LCM of 17,301 is 5117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,7205

GCF of Fractions 239/17,7205/301 is 1/5117

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

Greatest Common Factor of 239,7205 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,7205 By Matching Biggest Common Factor Method

Factors of 239

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

1,239

Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1,5,11,55,131,655,1441,7205

Greatest Common Factor

We found the factors 239,7205 . The biggest common factor number is the GCF number.
So the greatest common factor 239,7205 is 1.

Lets's calculate LCM of 17,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 5117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5117

Therefore, the GCF of Fractions 239/17,7205/301 is 1/5117

Least Common Multiple of 17,301 with GCF Formula

Least Common Multiple of 17,301 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 17,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,301) = 1

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

GCF(17,301) x common factors =1 x 1 = 1

LCM(17,301) = ( 17 × 301 ) / 1

LCM(17,301) = 5117 / 1

LCM(17,301) = 5117


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 239/17, 7205/301

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 239/17, 7205/301?

Answer: GCF of Numerators as per given numbers 239/17, 7205/301 is

GCF of Numerators i.e. for 239,7205 is 1

LCM of denominators i.e. for 17,301 is 5117.

Thus, GCF of Fractions is 1/5117.Finally, GCF of Fractions for 239/17, 7205/301 is 1/5117.