Greatest Common Factor of 7005/40, 7323/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7005/40, 7323/559

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 7005/40,7323/559

Given fractions are 7005/40,7323/559

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 7005,7323

Greatest Common Factor of Numerators i.e. GCF of 7005,7323 is 3 .

LCM of Denominators means LCM of 40,559 as per the given fractions.

LCM of 40,559 is 22360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7005,7323

GCF of Fractions 7005/40,7323/559 is 3/22360

3 7005, 7323
2335, 2441

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

Greatest Common Factor of 7005,7323 By Matching Biggest Common Factor Method

Greatest Common Factor of 7005,7323 By Matching Biggest Common Factor Method

Factors of 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1,3,5,15,467,1401,2335,7005

Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1,3,2441,7323

Greatest Common Factor

We found the factors 7005,7323 . The biggest common factor number is the GCF number.
So the greatest common factor 7005,7323 is 3.

Lets's calculate LCM of 40,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 22360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22360

Therefore, the GCF of Fractions 7005/40,7323/559 is 3/22360

Least Common Multiple of 40,559 with GCF Formula

Least Common Multiple of 40,559 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 40,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,559) = 1

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

GCF(40,559) x common factors =1 x 1 = 1

LCM(40,559) = ( 40 × 559 ) / 1

LCM(40,559) = 22360 / 1

LCM(40,559) = 22360


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 7005/40, 7323/559

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 7005/40, 7323/559?

Answer: GCF of Numerators as per given numbers 7005/40, 7323/559 is

GCF of Numerators i.e. for 7005,7323 is 3

LCM of denominators i.e. for 40,559 is 22360.

Thus, GCF of Fractions is 3/22360.Finally, GCF of Fractions for 7005/40, 7323/559 is 3/22360.