Greatest Common Factor of 71/307, 517/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/307, 517/204

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 71/307,517/204

Given fractions are 71/307,517/204

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 71,517

Greatest Common Factor of Numerators i.e. GCF of 71,517 is 1 .

LCM of Denominators means LCM of 307,204 as per the given fractions.

LCM of 307,204 is 62628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,517

GCF of Fractions 71/307,517/204 is 1/62628

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

Greatest Common Factor of 71,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,517 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 71,517 . The biggest common factor number is the GCF number.
So the greatest common factor 71,517 is 1.

Lets's calculate LCM of 307,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 62628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62628

Therefore, the GCF of Fractions 71/307,517/204 is 1/62628

Least Common Multiple of 307,204 with GCF Formula

Least Common Multiple of 307,204 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 307,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,204) = 1

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

GCF(307,204) x common factors =1 x 1 = 1

LCM(307,204) = ( 307 × 204 ) / 1

LCM(307,204) = 62628 / 1

LCM(307,204) = 62628


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 71/307, 517/204

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 71/307, 517/204?

Answer: GCF of Numerators as per given numbers 71/307, 517/204 is

GCF of Numerators i.e. for 71,517 is 1

LCM of denominators i.e. for 307,204 is 62628.

Thus, GCF of Fractions is 1/62628.Finally, GCF of Fractions for 71/307, 517/204 is 1/62628.