GCD of 33, 38, 72, 85 Calculator

Given Input numbers are 33, 38, 72, 85

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 33, 38, 72, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 38, 72, 85 is 1.

Therefore, GCD of numbers 33, 38, 72, 85 is 1

Given Input Data is 33, 38, 72, 85

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 85 is 5 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(33, 38) = 1254

GCD(33, 38) = ( 33 x 38 ) / 1254

GCD(33, 38) = 1254 / 1254

GCD(33, 38) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

GCD of 33, 38, 72, 85 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 19, 55, 43
• GCD of 52, 23, 48, 42
• GCD of 72, 57, 42, 28
• GCD of 64, 39, 80, 79
• GCD of 97, 77, 84, 57

1. What is the GCD of 33, 38, 72, 85?

GCD of 33, 38, 72, 85 is 1

2. Where do I get the detailed procedure to find GCD of 33, 38, 72, 85?

You can find a detailed procedure to find GCD of 33, 38, 72, 85 on our page.

3. How to find GCD of 33, 38, 72, 85 on a calculator?

You can find the GCD of 33, 38, 72, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.