Greatest Common Factor of 9003/134, 1200/6659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9003/134, 1200/6659

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 9003/134,1200/6659

Given fractions are 9003/134,1200/6659

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 9003,1200

Greatest Common Factor of Numerators i.e. GCF of 9003,1200 is 3 .

LCM of Denominators means LCM of 134,6659 as per the given fractions.

LCM of 134,6659 is 892306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9003,1200

GCF of Fractions 9003/134,1200/6659 is 3/892306

3 9003, 1200
3001, 400

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

Greatest Common Factor of 9003,1200 By Matching Biggest Common Factor Method

Greatest Common Factor of 9003,1200 By Matching Biggest Common Factor Method

Factors of 9003

List of positive integer factors of 9003 that divides 9003 without a remainder.

1,3,3001,9003

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 9003,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 9003,1200 is 3.

Lets's calculate LCM of 134,6659

Given numbers has no common factors except 1. So, there LCM is their product i.e 892306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/892306

Therefore, the GCF of Fractions 9003/134,1200/6659 is 3/892306

Least Common Multiple of 134,6659 with GCF Formula

Least Common Multiple of 134,6659 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 134,6659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,6659) = 1

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

GCF(134,6659) x common factors =1 x 1 = 1

LCM(134,6659) = ( 134 × 6659 ) / 1

LCM(134,6659) = 892306 / 1

LCM(134,6659) = 892306


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 9003/134, 1200/6659

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 9003/134, 1200/6659?

Answer: GCF of Numerators as per given numbers 9003/134, 1200/6659 is

GCF of Numerators i.e. for 9003,1200 is 3

LCM of denominators i.e. for 134,6659 is 892306.

Thus, GCF of Fractions is 3/892306.Finally, GCF of Fractions for 9003/134, 1200/6659 is 3/892306.