GCD of 71, 72, 99, 36 Calculator

Given Input numbers are 71, 72, 99, 36

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Greatest Common Divisior

We found the divisors of 71, 72, 99, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 72, 99, 36 is 1.

Therefore, GCD of numbers 71, 72, 99, 36 is 1

Given Input Data is 71, 72, 99, 36

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

Prime Factorization of 71 is 71

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 36 is 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(71, 72) = 5112

GCD(71, 72) = ( 71 x 72 ) / 5112

GCD(71, 72) = 5112 / 5112

GCD(71, 72) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 71, 72, 99, 36 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 44, 78, 26
• GCD of 87, 36, 49, 18
• GCD of 13, 21, 77, 74
• GCD of 55, 30, 35, 62
• GCD of 99, 40, 96, 64

1. What is the GCD of 71, 72, 99, 36?

GCD of 71, 72, 99, 36 is 1

2. Where do I get the detailed procedure to find GCD of 71, 72, 99, 36?

You can find a detailed procedure to find GCD of 71, 72, 99, 36 on our page.

3. How to find GCD of 71, 72, 99, 36 on a calculator?

You can find the GCD of 71, 72, 99, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.