Greatest Common Factor of 9003/106, 6524/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9003/106, 6524/146

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 9003/106,6524/146

Given fractions are 9003/106,6524/146

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 9003,6524

Greatest Common Factor of Numerators i.e. GCF of 9003,6524 is 1 .

LCM of Denominators means LCM of 106,146 as per the given fractions.

LCM of 106,146 is 7738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9003,6524

GCF of Fractions 9003/106,6524/146 is 1/7738

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

Greatest Common Factor of 9003,6524 By Matching Biggest Common Factor Method

Greatest Common Factor of 9003,6524 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 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1,2,4,7,14,28,233,466,932,1631,3262,6524

Greatest Common Factor

We found the factors 9003,6524 . The biggest common factor number is the GCF number.
So the greatest common factor 9003,6524 is 1.

Lets's calculate LCM of 106,146

2 106, 146
53, 73

∴ So the LCM of the given numbers is 2 x 53 x 73 = 7738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7738

Therefore, the GCF of Fractions 9003/106,6524/146 is 1/7738

Least Common Multiple of 106,146 with GCF Formula

Least Common Multiple of 106,146 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 106,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,146) = 2

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

GCF(106,146) x common factors =2 x 1 = 2

LCM(106,146) = ( 106 × 146 ) / 2

LCM(106,146) = 15476 / 2

LCM(106,146) = 7738


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 9003/106, 6524/146

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 9003/106, 6524/146?

Answer: GCF of Numerators as per given numbers 9003/106, 6524/146 is

GCF of Numerators i.e. for 9003,6524 is 1

LCM of denominators i.e. for 106,146 is 7738.

Thus, GCF of Fractions is 1/7738.Finally, GCF of Fractions for 9003/106, 6524/146 is 1/7738.