Greatest Common Factor of 7324/818, 3045/6040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7324/818, 3045/6040

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 7324/818,3045/6040

Given fractions are 7324/818,3045/6040

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 7324,3045

Greatest Common Factor of Numerators i.e. GCF of 7324,3045 is 1 .

LCM of Denominators means LCM of 818,6040 as per the given fractions.

LCM of 818,6040 is 2470360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7324,3045

GCF of Fractions 7324/818,3045/6040 is 1/2470360

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

Greatest Common Factor of 7324,3045 By Matching Biggest Common Factor Method

Greatest Common Factor of 7324,3045 By Matching Biggest Common Factor Method

Factors of 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1,2,4,1831,3662,7324

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors 7324,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 7324,3045 is 1.

Lets's calculate LCM of 818,6040

2 818, 6040
409, 3020

∴ So the LCM of the given numbers is 2 x 409 x 3020 = 2470360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2470360

Therefore, the GCF of Fractions 7324/818,3045/6040 is 1/2470360

Least Common Multiple of 818,6040 with GCF Formula

Least Common Multiple of 818,6040 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 818,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,6040) = 2

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

GCF(818,6040) x common factors =2 x 1 = 2

LCM(818,6040) = ( 818 × 6040 ) / 2

LCM(818,6040) = 4940720 / 2

LCM(818,6040) = 2470360


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 7324/818, 3045/6040

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 7324/818, 3045/6040?

Answer: GCF of Numerators as per given numbers 7324/818, 3045/6040 is

GCF of Numerators i.e. for 7324,3045 is 1

LCM of denominators i.e. for 818,6040 is 2470360.

Thus, GCF of Fractions is 1/2470360.Finally, GCF of Fractions for 7324/818, 3045/6040 is 1/2470360.