GCD of 34, 67, 21, 11 Calculator

Given Input numbers are 34, 67, 21, 11

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

Divisors of 34

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

1, 2, 17, 34

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Greatest Common Divisior

We found the divisors of 34, 67, 21, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 67, 21, 11 is 1.

Therefore, GCD of numbers 34, 67, 21, 11 is 1

Given Input Data is 34, 67, 21, 11

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 67 is 67

Prime Factorization of 21 is 3 x 7

Prime Factorization of 11 is 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(34, 67) = 2278

GCD(34, 67) = ( 34 x 67 ) / 2278

GCD(34, 67) = 2278 / 2278

GCD(34, 67) = 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 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

GCD of 34, 67, 21, 11 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 31, 66, 85
• GCD of 62, 64, 80, 25
• GCD of 84, 16, 18, 10
• GCD of 43, 58, 97, 79
• GCD of 90, 78, 46, 36

1. What is the GCD of 34, 67, 21, 11?

GCD of 34, 67, 21, 11 is 1

2. Where do I get the detailed procedure to find GCD of 34, 67, 21, 11?

You can find a detailed procedure to find GCD of 34, 67, 21, 11 on our page.

3. How to find GCD of 34, 67, 21, 11 on a calculator?

You can find the GCD of 34, 67, 21, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.