Greatest Common Factor of 164/446, 6009/5798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/446, 6009/5798

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 164/446,6009/5798

Given fractions are 164/446,6009/5798

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 164,6009

Greatest Common Factor of Numerators i.e. GCF of 164,6009 is 1 .

LCM of Denominators means LCM of 446,5798 as per the given fractions.

LCM of 446,5798 is 5798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,6009

GCF of Fractions 164/446,6009/5798 is 1/5798

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

Greatest Common Factor of 164,6009 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,6009 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1,3,2003,6009

Greatest Common Factor

We found the factors 164,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 164,6009 is 1.

Lets's calculate LCM of 446,5798

2 446, 5798
223 223, 2899
1, 13

∴ So the LCM of the given numbers is 2 x 223 x 1 x 13 = 5798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5798

Therefore, the GCF of Fractions 164/446,6009/5798 is 1/5798

Least Common Multiple of 446,5798 with GCF Formula

Least Common Multiple of 446,5798 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 446,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,5798) = 446

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

GCF(446,5798) x common factors =446 x 1 = 446

LCM(446,5798) = ( 446 × 5798 ) / 446

LCM(446,5798) = 2585908 / 446

LCM(446,5798) = 5798


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 164/446, 6009/5798

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 164/446, 6009/5798?

Answer: GCF of Numerators as per given numbers 164/446, 6009/5798 is

GCF of Numerators i.e. for 164,6009 is 1

LCM of denominators i.e. for 446,5798 is 5798.

Thus, GCF of Fractions is 1/5798.Finally, GCF of Fractions for 164/446, 6009/5798 is 1/5798.