GCD of 59, 3, 33, 84 Calculator

Given Input numbers are 59, 3, 33, 84

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 33

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

1, 3, 11, 33

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 59, 3, 33, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 3, 33, 84 is 1.

Therefore, GCD of numbers 59, 3, 33, 84 is 1

Given Input Data is 59, 3, 33, 84

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

Prime Factorization of 59 is 59

Prime Factorization of 3 is 3

Prime Factorization of 33 is 3 x 11

Prime Factorization of 84 is 2 x 2 x 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(59, 3) = 177

GCD(59, 3) = ( 59 x 3 ) / 177

GCD(59, 3) = 177 / 177

GCD(59, 3) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 59, 3, 33, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 5, 54, 50
• GCD of 66, 6, 15, 26
• GCD of 31, 2, 81, 21
• GCD of 91, 4, 95, 18
• GCD of 91, 8, 62, 42

1. What is the GCD of 59, 3, 33, 84?

GCD of 59, 3, 33, 84 is 1

2. Where do I get the detailed procedure to find GCD of 59, 3, 33, 84?

You can find a detailed procedure to find GCD of 59, 3, 33, 84 on our page.

3. How to find GCD of 59, 3, 33, 84 on a calculator?

You can find the GCD of 59, 3, 33, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.