GCD of 726, 638, 16, 462 Calculator

Given Input numbers are 726, 638, 16, 462

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 726, 638, 16, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 638, 16, 462 is 2.

Therefore, GCD of numbers 726, 638, 16, 462 is 2

Given Input Data is 726, 638, 16, 462

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 638 is 2 x 11 x 29

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 638) = 21054

GCD(726, 638) = ( 726 x 638 ) / 21054

GCD(726, 638) = 463188 / 21054

GCD(726, 638) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 16

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

LCM(22, 16) = 176

GCD(22, 16) = ( 22 x 16 ) / 176

GCD(22, 16) = 352 / 176

GCD(22, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 726, 638, 16, 462 is 2

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1. What is the GCD of 726, 638, 16, 462?

GCD of 726, 638, 16, 462 is 2

2. Where do I get the detailed procedure to find GCD of 726, 638, 16, 462?

You can find a detailed procedure to find GCD of 726, 638, 16, 462 on our page.

3. How to find GCD of 726, 638, 16, 462 on a calculator?

You can find the GCD of 726, 638, 16, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.