Greatest Common Factor of 8012/73, 7733/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8012/73, 7733/309

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 8012/73,7733/309

Given fractions are 8012/73,7733/309

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 8012,7733

Greatest Common Factor of Numerators i.e. GCF of 8012,7733 is 1 .

LCM of Denominators means LCM of 73,309 as per the given fractions.

LCM of 73,309 is 22557 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8012,7733

GCF of Fractions 8012/73,7733/309 is 1/22557

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

Greatest Common Factor of 8012,7733 By Matching Biggest Common Factor Method

Greatest Common Factor of 8012,7733 By Matching Biggest Common Factor Method

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Factors of 7733

List of positive integer factors of 7733 that divides 7733 without a remainder.

1,11,19,37,209,407,703,7733

Greatest Common Factor

We found the factors 8012,7733 . The biggest common factor number is the GCF number.
So the greatest common factor 8012,7733 is 1.

Lets's calculate LCM of 73,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 22557

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22557

Therefore, the GCF of Fractions 8012/73,7733/309 is 1/22557

Least Common Multiple of 73,309 with GCF Formula

Least Common Multiple of 73,309 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 73,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,309) = 1

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

GCF(73,309) x common factors =1 x 1 = 1

LCM(73,309) = ( 73 × 309 ) / 1

LCM(73,309) = 22557 / 1

LCM(73,309) = 22557


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 8012/73, 7733/309

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 8012/73, 7733/309?

Answer: GCF of Numerators as per given numbers 8012/73, 7733/309 is

GCF of Numerators i.e. for 8012,7733 is 1

LCM of denominators i.e. for 73,309 is 22557.

Thus, GCF of Fractions is 1/22557.Finally, GCF of Fractions for 8012/73, 7733/309 is 1/22557.