GCD of 726, 466, 612 Calculator

Given Input numbers are 726, 466, 612

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 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 726, 466, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 466, 612 is 2.

Therefore, GCD of numbers 726, 466, 612 is 2

Given Input Data is 726, 466, 612

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 466 is 2 x 233

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 466) = 169158

GCD(726, 466) = ( 726 x 466 ) / 169158

GCD(726, 466) = 338316 / 169158

GCD(726, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

GCD of 726, 466, 612 is 2

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1. What is the GCD of 726, 466, 612?

GCD of 726, 466, 612 is 2

2. Where do I get the detailed procedure to find GCD of 726, 466, 612?

You can find a detailed procedure to find GCD of 726, 466, 612 on our page.

3. How to find GCD of 726, 466, 612 on a calculator?

You can find the GCD of 726, 466, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.