Greatest Common Factor of 5998/598, 3693/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5998/598, 3693/589

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 5998/598,3693/589

Given fractions are 5998/598,3693/589

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 5998,3693

Greatest Common Factor of Numerators i.e. GCF of 5998,3693 is 1 .

LCM of Denominators means LCM of 598,589 as per the given fractions.

LCM of 598,589 is 352222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5998,3693

GCF of Fractions 5998/598,3693/589 is 1/352222

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

Greatest Common Factor of 5998,3693 By Matching Biggest Common Factor Method

Greatest Common Factor of 5998,3693 By Matching Biggest Common Factor Method

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1,2,2999,5998

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Greatest Common Factor

We found the factors 5998,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 5998,3693 is 1.

Lets's calculate LCM of 598,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 352222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352222

Therefore, the GCF of Fractions 5998/598,3693/589 is 1/352222

Least Common Multiple of 598,589 with GCF Formula

Least Common Multiple of 598,589 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 598,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,589) = 1

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

GCF(598,589) x common factors =1 x 1 = 1

LCM(598,589) = ( 598 × 589 ) / 1

LCM(598,589) = 352222 / 1

LCM(598,589) = 352222


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 5998/598, 3693/589

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 5998/598, 3693/589?

Answer: GCF of Numerators as per given numbers 5998/598, 3693/589 is

GCF of Numerators i.e. for 5998,3693 is 1

LCM of denominators i.e. for 598,589 is 352222.

Thus, GCF of Fractions is 1/352222.Finally, GCF of Fractions for 5998/598, 3693/589 is 1/352222.