GCD of 36, 270, 786, 853 Calculator

Given Input numbers are 36, 270, 786, 853

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 36, 270, 786, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 270, 786, 853 is 1.

Therefore, GCD of numbers 36, 270, 786, 853 is 1

Given Input Data is 36, 270, 786, 853

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 853 is 853

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, 270) = 540

GCD(36, 270) = ( 36 x 270 ) / 540

GCD(36, 270) = 9720 / 540

GCD(36, 270) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 786

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

LCM(18, 786) = 2358

GCD(18, 786) = ( 18 x 786 ) / 2358

GCD(18, 786) = 14148 / 2358

GCD(18, 786) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 853

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

LCM(6, 853) = 5118

GCD(6, 853) = ( 6 x 853 ) / 5118

GCD(6, 853) = 5118 / 5118

GCD(6, 853) = 1

GCD of 36, 270, 786, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 987, 888, 506
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• GCD of 76, 992, 604, 411

1. What is the GCD of 36, 270, 786, 853?

GCD of 36, 270, 786, 853 is 1

2. Where do I get the detailed procedure to find GCD of 36, 270, 786, 853?

You can find a detailed procedure to find GCD of 36, 270, 786, 853 on our page.

3. How to find GCD of 36, 270, 786, 853 on a calculator?

You can find the GCD of 36, 270, 786, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.