GCD of 36, 6, 35, 72 Calculator

Given Input numbers are 36, 6, 35, 72

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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

Greatest Common Divisior

We found the divisors of 36, 6, 35, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 6, 35, 72 is 1.

Therefore, GCD of numbers 36, 6, 35, 72 is 1

Given Input Data is 36, 6, 35, 72

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 6 is 2 x 3

Prime Factorization of 35 is 5 x 7

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

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(36, 6) = 36

GCD(36, 6) = ( 36 x 6 ) / 36

GCD(36, 6) = 216 / 36

GCD(36, 6) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 35

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

LCM(6, 35) = 210

GCD(6, 35) = ( 6 x 35 ) / 210

GCD(6, 35) = 210 / 210

GCD(6, 35) = 1

Step3:

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

GCD of 36, 6, 35, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 6, 59, 12
• GCD of 78, 9, 75, 65
• GCD of 94, 6, 40, 93
• GCD of 56, 4, 55, 87
• GCD of 60, 3, 34, 87

1. What is the GCD of 36, 6, 35, 72?

GCD of 36, 6, 35, 72 is 1

2. Where do I get the detailed procedure to find GCD of 36, 6, 35, 72?

You can find a detailed procedure to find GCD of 36, 6, 35, 72 on our page.

3. How to find GCD of 36, 6, 35, 72 on a calculator?

You can find the GCD of 36, 6, 35, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.