Greatest Common Factor of 9229/408, 6008/1629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9229/408, 6008/1629

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 9229/408,6008/1629

Given fractions are 9229/408,6008/1629

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 9229,6008

Greatest Common Factor of Numerators i.e. GCF of 9229,6008 is 1 .

LCM of Denominators means LCM of 408,1629 as per the given fractions.

LCM of 408,1629 is 221544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9229,6008

GCF of Fractions 9229/408,6008/1629 is 1/221544

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

Greatest Common Factor of 9229,6008 By Matching Biggest Common Factor Method

Greatest Common Factor of 9229,6008 By Matching Biggest Common Factor Method

Factors of 9229

List of positive integer factors of 9229 that divides 9229 without a remainder.

1,11,839,9229

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Greatest Common Factor

We found the factors 9229,6008 . The biggest common factor number is the GCF number.
So the greatest common factor 9229,6008 is 1.

Lets's calculate LCM of 408,1629

3 408, 1629
136, 543

∴ So the LCM of the given numbers is 3 x 136 x 543 = 221544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221544

Therefore, the GCF of Fractions 9229/408,6008/1629 is 1/221544

Least Common Multiple of 408,1629 with GCF Formula

Least Common Multiple of 408,1629 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 408,1629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,1629) = 3

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

GCF(408,1629) x common factors =3 x 1 = 3

LCM(408,1629) = ( 408 × 1629 ) / 3

LCM(408,1629) = 664632 / 3

LCM(408,1629) = 221544


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 9229/408, 6008/1629

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 9229/408, 6008/1629?

Answer: GCF of Numerators as per given numbers 9229/408, 6008/1629 is

GCF of Numerators i.e. for 9229,6008 is 1

LCM of denominators i.e. for 408,1629 is 221544.

Thus, GCF of Fractions is 1/221544.Finally, GCF of Fractions for 9229/408, 6008/1629 is 1/221544.