GCD of 726, 111, 264 Calculator

Given Input numbers are 726, 111, 264

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 726, 111, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 111, 264 is 3.

Therefore, GCD of numbers 726, 111, 264 is 3

Given Input Data is 726, 111, 264

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 111 is 3 x 37

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(726, 111) = 26862

GCD(726, 111) = ( 726 x 111 ) / 26862

GCD(726, 111) = 80586 / 26862

GCD(726, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 264

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

GCD(3, 264) = 792 / 264

GCD(3, 264) = 3

GCD of 726, 111, 264 is 3

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1. What is the GCD of 726, 111, 264?

GCD of 726, 111, 264 is 3

2. Where do I get the detailed procedure to find GCD of 726, 111, 264?

You can find a detailed procedure to find GCD of 726, 111, 264 on our page.

3. How to find GCD of 726, 111, 264 on a calculator?

You can find the GCD of 726, 111, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.