Greatest Common Factor of 5942/58, 1059/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5942/58, 1059/662

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 5942/58,1059/662

Given fractions are 5942/58,1059/662

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 5942,1059

Greatest Common Factor of Numerators i.e. GCF of 5942,1059 is 1 .

LCM of Denominators means LCM of 58,662 as per the given fractions.

LCM of 58,662 is 19198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5942,1059

GCF of Fractions 5942/58,1059/662 is 1/19198

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

Greatest Common Factor of 5942,1059 By Matching Biggest Common Factor Method

Greatest Common Factor of 5942,1059 By Matching Biggest Common Factor Method

Factors of 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1,2,2971,5942

Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1,3,353,1059

Greatest Common Factor

We found the factors 5942,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 5942,1059 is 1.

Lets's calculate LCM of 58,662

2 58, 662
29, 331

∴ So the LCM of the given numbers is 2 x 29 x 331 = 19198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19198

Therefore, the GCF of Fractions 5942/58,1059/662 is 1/19198

Least Common Multiple of 58,662 with GCF Formula

Least Common Multiple of 58,662 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 58,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,662) = 2

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

GCF(58,662) x common factors =2 x 1 = 2

LCM(58,662) = ( 58 × 662 ) / 2

LCM(58,662) = 38396 / 2

LCM(58,662) = 19198


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 5942/58, 1059/662

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 5942/58, 1059/662?

Answer: GCF of Numerators as per given numbers 5942/58, 1059/662 is

GCF of Numerators i.e. for 5942,1059 is 1

LCM of denominators i.e. for 58,662 is 19198.

Thus, GCF of Fractions is 1/19198.Finally, GCF of Fractions for 5942/58, 1059/662 is 1/19198.