Greatest Common Factor of 8096/732, 3366/5093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8096/732, 3366/5093

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 8096/732,3366/5093

Given fractions are 8096/732,3366/5093

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 8096,3366

Greatest Common Factor of Numerators i.e. GCF of 8096,3366 is 22 .

LCM of Denominators means LCM of 732,5093 as per the given fractions.

LCM of 732,5093 is 3728076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8096,3366

GCF of Fractions 8096/732,3366/5093 is 22/3728076

2 8096, 3366
11 4048, 1683
368, 153

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 8096,3366 By Matching Biggest Common Factor Method

Greatest Common Factor of 8096,3366 By Matching Biggest Common Factor Method

Factors of 8096

List of positive integer factors of 8096 that divides 8096 without a remainder.

1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Greatest Common Factor

We found the factors 8096,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 8096,3366 is 22.

Lets's calculate LCM of 732,5093

Given numbers has no common factors except 1. So, there LCM is their product i.e 3728076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3728076

Therefore, the GCF of Fractions 8096/732,3366/5093 is 22/3728076

Least Common Multiple of 732,5093 with GCF Formula

Least Common Multiple of 732,5093 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 732,5093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,5093) = 1

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

GCF(732,5093) x common factors =1 x 1 = 1

LCM(732,5093) = ( 732 × 5093 ) / 1

LCM(732,5093) = 3728076 / 1

LCM(732,5093) = 3728076


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 8096/732, 3366/5093

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 8096/732, 3366/5093?

Answer: GCF of Numerators as per given numbers 8096/732, 3366/5093 is

GCF of Numerators i.e. for 8096,3366 is 22

LCM of denominators i.e. for 732,5093 is 3728076.

Thus, GCF of Fractions is 22/3728076.Finally, GCF of Fractions for 8096/732, 3366/5093 is 22/3728076.