Greatest Common Factor of 5805/67, 6517/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5805/67, 6517/599

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 5805/67,6517/599

Given fractions are 5805/67,6517/599

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 5805,6517

Greatest Common Factor of Numerators i.e. GCF of 5805,6517 is 1 .

LCM of Denominators means LCM of 67,599 as per the given fractions.

LCM of 67,599 is 40133 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5805,6517

GCF of Fractions 5805/67,6517/599 is 1/40133

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

Greatest Common Factor of 5805,6517 By Matching Biggest Common Factor Method

Greatest Common Factor of 5805,6517 By Matching Biggest Common Factor Method

Factors of 5805

List of positive integer factors of 5805 that divides 5805 without a remainder.

1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805

Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 5805,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 5805,6517 is 1.

Lets's calculate LCM of 67,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 40133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40133

Therefore, the GCF of Fractions 5805/67,6517/599 is 1/40133

Least Common Multiple of 67,599 with GCF Formula

Least Common Multiple of 67,599 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 67,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,599) = 1

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

GCF(67,599) x common factors =1 x 1 = 1

LCM(67,599) = ( 67 × 599 ) / 1

LCM(67,599) = 40133 / 1

LCM(67,599) = 40133


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 5805/67, 6517/599

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 5805/67, 6517/599?

Answer: GCF of Numerators as per given numbers 5805/67, 6517/599 is

GCF of Numerators i.e. for 5805,6517 is 1

LCM of denominators i.e. for 67,599 is 40133.

Thus, GCF of Fractions is 1/40133.Finally, GCF of Fractions for 5805/67, 6517/599 is 1/40133.