GCD of 33, 64, 21 Calculator

Given Input numbers are 33, 64, 21

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 33, 64, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 64, 21 is 1.

Therefore, GCD of numbers 33, 64, 21 is 1

Given Input Data is 33, 64, 21

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 21 is 3 x 7

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(33, 64) = 2112

GCD(33, 64) = ( 33 x 64 ) / 2112

GCD(33, 64) = 2112 / 2112

GCD(33, 64) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 33, 64, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 35, 10
• GCD of 49, 78, 11
• GCD of 10, 80, 26
• GCD of 18, 42, 70
• GCD of 53, 61, 60

1. What is the GCD of 33, 64, 21?

GCD of 33, 64, 21 is 1

2. Where do I get the detailed procedure to find GCD of 33, 64, 21?

You can find a detailed procedure to find GCD of 33, 64, 21 on our page.

3. How to find GCD of 33, 64, 21 on a calculator?

You can find the GCD of 33, 64, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.