Greatest Common Factor of 6507/73, 8621/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6507/73, 8621/308

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 6507/73,8621/308

Given fractions are 6507/73,8621/308

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 6507,8621

Greatest Common Factor of Numerators i.e. GCF of 6507,8621 is 1 .

LCM of Denominators means LCM of 73,308 as per the given fractions.

LCM of 73,308 is 22484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6507,8621

GCF of Fractions 6507/73,8621/308 is 1/22484

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

Greatest Common Factor of 6507,8621 By Matching Biggest Common Factor Method

Greatest Common Factor of 6507,8621 By Matching Biggest Common Factor Method

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1,3,9,27,241,723,2169,6507

Factors of 8621

List of positive integer factors of 8621 that divides 8621 without a remainder.

1,37,233,8621

Greatest Common Factor

We found the factors 6507,8621 . The biggest common factor number is the GCF number.
So the greatest common factor 6507,8621 is 1.

Lets's calculate LCM of 73,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 22484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22484

Therefore, the GCF of Fractions 6507/73,8621/308 is 1/22484

Least Common Multiple of 73,308 with GCF Formula

Least Common Multiple of 73,308 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 73,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,308) = 1

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

GCF(73,308) x common factors =1 x 1 = 1

LCM(73,308) = ( 73 × 308 ) / 1

LCM(73,308) = 22484 / 1

LCM(73,308) = 22484


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 6507/73, 8621/308

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 6507/73, 8621/308?

Answer: GCF of Numerators as per given numbers 6507/73, 8621/308 is

GCF of Numerators i.e. for 6507,8621 is 1

LCM of denominators i.e. for 73,308 is 22484.

Thus, GCF of Fractions is 1/22484.Finally, GCF of Fractions for 6507/73, 8621/308 is 1/22484.