GCD of 12, 60, 67, 21 Calculator

Given Input numbers are 12, 60, 67, 21

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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 12, 60, 67, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 60, 67, 21 is 1.

Therefore, GCD of numbers 12, 60, 67, 21 is 1

Given Input Data is 12, 60, 67, 21

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 67 is 67

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(12, 60) = 60

GCD(12, 60) = ( 12 x 60 ) / 60

GCD(12, 60) = 720 / 60

GCD(12, 60) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 67

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

LCM(12, 67) = 804

GCD(12, 67) = ( 12 x 67 ) / 804

GCD(12, 67) = 804 / 804

GCD(12, 67) = 1

Step3:

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 12, 60, 67, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 26, 83, 60
• GCD of 28, 75, 89, 73
• GCD of 39, 97, 38, 82
• GCD of 41, 96, 27, 59
• GCD of 16, 59, 63, 38

1. What is the GCD of 12, 60, 67, 21?

GCD of 12, 60, 67, 21 is 1

2. Where do I get the detailed procedure to find GCD of 12, 60, 67, 21?

You can find a detailed procedure to find GCD of 12, 60, 67, 21 on our page.

3. How to find GCD of 12, 60, 67, 21 on a calculator?

You can find the GCD of 12, 60, 67, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.