GCD of 33, 87, 21, 71 Calculator

Given Input numbers are 33, 87, 21, 71

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 21

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

1, 3, 7, 21

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 33, 87, 21, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 87, 21, 71 is 1.

Therefore, GCD of numbers 33, 87, 21, 71 is 1

Given Input Data is 33, 87, 21, 71

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 21 is 3 x 7

Prime Factorization of 71 is 71

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(33, 87) = 957

GCD(33, 87) = ( 33 x 87 ) / 957

GCD(33, 87) = 2871 / 957

GCD(33, 87) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

GCD of 33, 87, 21, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 97, 55, 84
• GCD of 37, 96, 97, 87
• GCD of 84, 42, 33, 89
• GCD of 25, 34, 32, 24
• GCD of 11, 59, 37, 27

1. What is the GCD of 33, 87, 21, 71?

GCD of 33, 87, 21, 71 is 1

2. Where do I get the detailed procedure to find GCD of 33, 87, 21, 71?

You can find a detailed procedure to find GCD of 33, 87, 21, 71 on our page.

3. How to find GCD of 33, 87, 21, 71 on a calculator?

You can find the GCD of 33, 87, 21, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.