Greatest Common Factor of 5899/58, 1742/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5899/58, 1742/659

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 5899/58,1742/659

Given fractions are 5899/58,1742/659

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 5899,1742

Greatest Common Factor of Numerators i.e. GCF of 5899,1742 is 1 .

LCM of Denominators means LCM of 58,659 as per the given fractions.

LCM of 58,659 is 38222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5899,1742

GCF of Fractions 5899/58,1742/659 is 1/38222

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

Greatest Common Factor of 5899,1742 By Matching Biggest Common Factor Method

Greatest Common Factor of 5899,1742 By Matching Biggest Common Factor Method

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 5899,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 5899,1742 is 1.

Lets's calculate LCM of 58,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 38222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38222

Therefore, the GCF of Fractions 5899/58,1742/659 is 1/38222

Least Common Multiple of 58,659 with GCF Formula

Least Common Multiple of 58,659 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 58,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,659) = 1

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

GCF(58,659) x common factors =1 x 1 = 1

LCM(58,659) = ( 58 × 659 ) / 1

LCM(58,659) = 38222 / 1

LCM(58,659) = 38222


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 5899/58, 1742/659

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 5899/58, 1742/659?

Answer: GCF of Numerators as per given numbers 5899/58, 1742/659 is

GCF of Numerators i.e. for 5899,1742 is 1

LCM of denominators i.e. for 58,659 is 38222.

Thus, GCF of Fractions is 1/38222.Finally, GCF of Fractions for 5899/58, 1742/659 is 1/38222.