GCD of 809, 735, 36, 412 Calculator

Given Input numbers are 809, 735, 36, 412

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 809, 735, 36, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 735, 36, 412 is 1.

Therefore, GCD of numbers 809, 735, 36, 412 is 1

Given Input Data is 809, 735, 36, 412

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

Prime Factorization of 809 is 809

Prime Factorization of 735 is 3 x 5 x 7 x 7

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

Prime Factorization of 412 is 2 x 2 x 103

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(809, 735) = 594615

GCD(809, 735) = ( 809 x 735 ) / 594615

GCD(809, 735) = 594615 / 594615

GCD(809, 735) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 809, 735, 36, 412 is 1

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• GCD of 306, 283, 89, 539
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1. What is the GCD of 809, 735, 36, 412?

GCD of 809, 735, 36, 412 is 1

2. Where do I get the detailed procedure to find GCD of 809, 735, 36, 412?

You can find a detailed procedure to find GCD of 809, 735, 36, 412 on our page.

3. How to find GCD of 809, 735, 36, 412 on a calculator?

You can find the GCD of 809, 735, 36, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.