GCD of 464, 146, 16, 221 Calculator

Given Input numbers are 464, 146, 16, 221

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 464, 146, 16, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 146, 16, 221 is 1.

Therefore, GCD of numbers 464, 146, 16, 221 is 1

Given Input Data is 464, 146, 16, 221

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 146 is 2 x 73

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

Prime Factorization of 221 is 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(464, 146) = 33872

GCD(464, 146) = ( 464 x 146 ) / 33872

GCD(464, 146) = 67744 / 33872

GCD(464, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 464, 146, 16, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 886, 61, 164
• GCD of 638, 731, 53, 159
• GCD of 284, 543, 86, 928
• GCD of 864, 426, 82, 969
• GCD of 288, 527, 84, 788

1. What is the GCD of 464, 146, 16, 221?

GCD of 464, 146, 16, 221 is 1

2. Where do I get the detailed procedure to find GCD of 464, 146, 16, 221?

You can find a detailed procedure to find GCD of 464, 146, 16, 221 on our page.

3. How to find GCD of 464, 146, 16, 221 on a calculator?

You can find the GCD of 464, 146, 16, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.