GCD of 21, 30, 67, 34 Calculator

Given Input numbers are 21, 30, 67, 34

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 67

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

1, 67

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 21, 30, 67, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 30, 67, 34 is 1.

Therefore, GCD of numbers 21, 30, 67, 34 is 1

Given Input Data is 21, 30, 67, 34

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 67 is 67

Prime Factorization of 34 is 2 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(21, 30) = 210

GCD(21, 30) = ( 21 x 30 ) / 210

GCD(21, 30) = 630 / 210

GCD(21, 30) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 21, 30, 67, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 43, 61, 84
• GCD of 66, 89, 47, 22
• GCD of 42, 65, 88, 29
• GCD of 39, 98, 45, 21
• GCD of 74, 41, 27, 36

1. What is the GCD of 21, 30, 67, 34?

GCD of 21, 30, 67, 34 is 1

2. Where do I get the detailed procedure to find GCD of 21, 30, 67, 34?

You can find a detailed procedure to find GCD of 21, 30, 67, 34 on our page.

3. How to find GCD of 21, 30, 67, 34 on a calculator?

You can find the GCD of 21, 30, 67, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.