GCD of 36, 99, 35 Calculator

Given Input numbers are 36, 99, 35

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 99

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

1, 3, 9, 11, 33, 99

Divisors of 35

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

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 36, 99, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 99, 35 is 1.

Therefore, GCD of numbers 36, 99, 35 is 1

Given Input Data is 36, 99, 35

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 99 is 3 x 3 x 11

Prime Factorization of 35 is 5 x 7

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, 99) = 396

GCD(36, 99) = ( 36 x 99 ) / 396

GCD(36, 99) = 3564 / 396

GCD(36, 99) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 35

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

LCM(9, 35) = 315

GCD(9, 35) = ( 9 x 35 ) / 315

GCD(9, 35) = 315 / 315

GCD(9, 35) = 1

GCD of 36, 99, 35 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 41, 96
• GCD of 66, 76, 79
• GCD of 76, 96, 20
• GCD of 41, 93, 26
• GCD of 10, 42, 88

1. What is the GCD of 36, 99, 35?

GCD of 36, 99, 35 is 1

2. Where do I get the detailed procedure to find GCD of 36, 99, 35?

You can find a detailed procedure to find GCD of 36, 99, 35 on our page.

3. How to find GCD of 36, 99, 35 on a calculator?

You can find the GCD of 36, 99, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.