GCD of 59, 34, 68, 33 Calculator

Given Input numbers are 59, 34, 68, 33

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 34

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

1, 2, 17, 34

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 33

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

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 59, 34, 68, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 34, 68, 33 is 1.

Therefore, GCD of numbers 59, 34, 68, 33 is 1

Given Input Data is 59, 34, 68, 33

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

Prime Factorization of 59 is 59

Prime Factorization of 34 is 2 x 17

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 33 is 3 x 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(59, 34) = 2006

GCD(59, 34) = ( 59 x 34 ) / 2006

GCD(59, 34) = 2006 / 2006

GCD(59, 34) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

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

GCD of 59, 34, 68, 33 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 75, 39, 27
• GCD of 44, 20, 45, 41
• GCD of 49, 47, 31, 32
• GCD of 79, 85, 64, 86
• GCD of 29, 31, 59, 76

1. What is the GCD of 59, 34, 68, 33?

GCD of 59, 34, 68, 33 is 1

2. Where do I get the detailed procedure to find GCD of 59, 34, 68, 33?

You can find a detailed procedure to find GCD of 59, 34, 68, 33 on our page.

3. How to find GCD of 59, 34, 68, 33 on a calculator?

You can find the GCD of 59, 34, 68, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.