GCD of 64, 65, 21, 66 Calculator

Given Input numbers are 64, 65, 21, 66

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

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 21

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

1, 3, 7, 21

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 64, 65, 21, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 65, 21, 66 is 1.

Therefore, GCD of numbers 64, 65, 21, 66 is 1

Given Input Data is 64, 65, 21, 66

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

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 66 is 2 x 3 x 11

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(64, 65) = 4160

GCD(64, 65) = ( 64 x 65 ) / 4160

GCD(64, 65) = 4160 / 4160

GCD(64, 65) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 64, 65, 21, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 77, 80, 87
• GCD of 64, 82, 58, 46
• GCD of 67, 41, 43, 29
• GCD of 27, 46, 46, 44
• GCD of 85, 57, 93, 79

1. What is the GCD of 64, 65, 21, 66?

GCD of 64, 65, 21, 66 is 1

2. Where do I get the detailed procedure to find GCD of 64, 65, 21, 66?

You can find a detailed procedure to find GCD of 64, 65, 21, 66 on our page.

3. How to find GCD of 64, 65, 21, 66 on a calculator?

You can find the GCD of 64, 65, 21, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.