GCD of 72, 66, 34, 85 Calculator

Given Input numbers are 72, 66, 34, 85

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

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 34

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

1, 2, 17, 34

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 72, 66, 34, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 66, 34, 85 is 1.

Therefore, GCD of numbers 72, 66, 34, 85 is 1

Given Input Data is 72, 66, 34, 85

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

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 34 is 2 x 17

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(72, 66) = 792

GCD(72, 66) = ( 72 x 66 ) / 792

GCD(72, 66) = 4752 / 792

GCD(72, 66) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 34

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

LCM(6, 34) = 102

GCD(6, 34) = ( 6 x 34 ) / 102

GCD(6, 34) = 204 / 102

GCD(6, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

GCD of 72, 66, 34, 85 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 93, 98, 72
• GCD of 76, 62, 52, 12
• GCD of 93, 19, 39, 20
• GCD of 43, 28, 32, 31
• GCD of 35, 60, 61, 42

1. What is the GCD of 72, 66, 34, 85?

GCD of 72, 66, 34, 85 is 1

2. Where do I get the detailed procedure to find GCD of 72, 66, 34, 85?

You can find a detailed procedure to find GCD of 72, 66, 34, 85 on our page.

3. How to find GCD of 72, 66, 34, 85 on a calculator?

You can find the GCD of 72, 66, 34, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.