Greatest Common Factor of 9006/526, 6543/6299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9006/526, 6543/6299

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 9006/526,6543/6299

Given fractions are 9006/526,6543/6299

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 9006,6543

Greatest Common Factor of Numerators i.e. GCF of 9006,6543 is 3 .

LCM of Denominators means LCM of 526,6299 as per the given fractions.

LCM of 526,6299 is 3313274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9006,6543

GCF of Fractions 9006/526,6543/6299 is 3/3313274

3 9006, 6543
3002, 2181

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

Greatest Common Factor of 9006,6543 By Matching Biggest Common Factor Method

Greatest Common Factor of 9006,6543 By Matching Biggest Common Factor Method

Factors of 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006

Factors of 6543

List of positive integer factors of 6543 that divides 6543 without a remainder.

1,3,9,727,2181,6543

Greatest Common Factor

We found the factors 9006,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,6543 is 3.

Lets's calculate LCM of 526,6299

Given numbers has no common factors except 1. So, there LCM is their product i.e 3313274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3313274

Therefore, the GCF of Fractions 9006/526,6543/6299 is 3/3313274

Least Common Multiple of 526,6299 with GCF Formula

Least Common Multiple of 526,6299 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 526,6299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,6299) = 1

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

GCF(526,6299) x common factors =1 x 1 = 1

LCM(526,6299) = ( 526 × 6299 ) / 1

LCM(526,6299) = 3313274 / 1

LCM(526,6299) = 3313274


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 9006/526, 6543/6299

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 9006/526, 6543/6299?

Answer: GCF of Numerators as per given numbers 9006/526, 6543/6299 is

GCF of Numerators i.e. for 9006,6543 is 3

LCM of denominators i.e. for 526,6299 is 3313274.

Thus, GCF of Fractions is 3/3313274.Finally, GCF of Fractions for 9006/526, 6543/6299 is 3/3313274.