Greatest Common Factor of 5859/58, 2658/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5859/58, 2658/636

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 5859/58,2658/636

Given fractions are 5859/58,2658/636

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 5859,2658

Greatest Common Factor of Numerators i.e. GCF of 5859,2658 is 3 .

LCM of Denominators means LCM of 58,636 as per the given fractions.

LCM of 58,636 is 18444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5859,2658

GCF of Fractions 5859/58,2658/636 is 3/18444

3 5859, 2658
1953, 886

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5859,2658 By Matching Biggest Common Factor Method

Greatest Common Factor of 5859,2658 By Matching Biggest Common Factor Method

Factors of 5859

List of positive integer factors of 5859 that divides 5859 without a remainder.

1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859

Factors of 2658

List of positive integer factors of 2658 that divides 2658 without a remainder.

1,2,3,6,443,886,1329,2658

Greatest Common Factor

We found the factors 5859,2658 . The biggest common factor number is the GCF number.
So the greatest common factor 5859,2658 is 3.

Lets's calculate LCM of 58,636

2 58, 636
29, 318

∴ So the LCM of the given numbers is 2 x 29 x 318 = 18444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18444

Therefore, the GCF of Fractions 5859/58,2658/636 is 3/18444

Least Common Multiple of 58,636 with GCF Formula

Least Common Multiple of 58,636 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 58,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,636) = 2

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

GCF(58,636) x common factors =2 x 1 = 2

LCM(58,636) = ( 58 × 636 ) / 2

LCM(58,636) = 36888 / 2

LCM(58,636) = 18444


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 5859/58, 2658/636

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 5859/58, 2658/636?

Answer: GCF of Numerators as per given numbers 5859/58, 2658/636 is

GCF of Numerators i.e. for 5859,2658 is 3

LCM of denominators i.e. for 58,636 is 18444.

Thus, GCF of Fractions is 3/18444.Finally, GCF of Fractions for 5859/58, 2658/636 is 3/18444.