GCD of 21, 57, 60, 67 Calculator

Given Input numbers are 21, 57, 60, 67

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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

Greatest Common Divisior

We found the divisors of 21, 57, 60, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 57, 60, 67 is 1.

Therefore, GCD of numbers 21, 57, 60, 67 is 1

Given Input Data is 21, 57, 60, 67

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 57 is 3 x 19

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

Prime Factorization of 67 is 67

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(21, 57) = 399

GCD(21, 57) = ( 21 x 57 ) / 399

GCD(21, 57) = 1197 / 399

GCD(21, 57) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1

GCD of 21, 57, 60, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 22, 90, 50
• GCD of 71, 41, 34, 79
• GCD of 84, 70, 18, 53
• GCD of 93, 31, 11, 78
• GCD of 61, 51, 59, 84

1. What is the GCD of 21, 57, 60, 67?

GCD of 21, 57, 60, 67 is 1

2. Where do I get the detailed procedure to find GCD of 21, 57, 60, 67?

You can find a detailed procedure to find GCD of 21, 57, 60, 67 on our page.

3. How to find GCD of 21, 57, 60, 67 on a calculator?

You can find the GCD of 21, 57, 60, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.