GCD of 807, 609, 36, 961 Calculator

Given Input numbers are 807, 609, 36, 961

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 807, 609, 36, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 609, 36, 961 is 1.

Therefore, GCD of numbers 807, 609, 36, 961 is 1

Given Input Data is 807, 609, 36, 961

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 609 is 3 x 7 x 29

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

Prime Factorization of 961 is 31 x 31

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(807, 609) = 163821

GCD(807, 609) = ( 807 x 609 ) / 163821

GCD(807, 609) = 491463 / 163821

GCD(807, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 961

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

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

GCD(3, 961) = 2883 / 2883

GCD(3, 961) = 1

GCD of 807, 609, 36, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 637, 63, 289
• GCD of 224, 966, 75, 937
• GCD of 137, 974, 42, 431
• GCD of 250, 779, 27, 163
• GCD of 810, 374, 33, 920

1. What is the GCD of 807, 609, 36, 961?

GCD of 807, 609, 36, 961 is 1

2. Where do I get the detailed procedure to find GCD of 807, 609, 36, 961?

You can find a detailed procedure to find GCD of 807, 609, 36, 961 on our page.

3. How to find GCD of 807, 609, 36, 961 on a calculator?

You can find the GCD of 807, 609, 36, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.