GCD of 16, 601, 164, 918 Calculator

Given Input numbers are 16, 601, 164, 918

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 16, 601, 164, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 601, 164, 918 is 1.

Therefore, GCD of numbers 16, 601, 164, 918 is 1

Given Input Data is 16, 601, 164, 918

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

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

Prime Factorization of 601 is 601

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 918 is 2 x 3 x 3 x 3 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(16, 601) = 9616

GCD(16, 601) = ( 16 x 601 ) / 9616

GCD(16, 601) = 9616 / 9616

GCD(16, 601) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 16, 601, 164, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 571, 910, 243
• GCD of 69, 339, 692, 454
• GCD of 65, 873, 418, 888
• GCD of 36, 568, 760, 757
• GCD of 27, 978, 951, 419

1. What is the GCD of 16, 601, 164, 918?

GCD of 16, 601, 164, 918 is 1

2. Where do I get the detailed procedure to find GCD of 16, 601, 164, 918?

You can find a detailed procedure to find GCD of 16, 601, 164, 918 on our page.

3. How to find GCD of 16, 601, 164, 918 on a calculator?

You can find the GCD of 16, 601, 164, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.