GCD of 765, 183, 961, 805 Calculator

Given Input numbers are 765, 183, 961, 805

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 961

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

1, 31, 961

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 765, 183, 961, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 183, 961, 805 is 1.

Therefore, GCD of numbers 765, 183, 961, 805 is 1

Given Input Data is 765, 183, 961, 805

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 183 is 3 x 61

Prime Factorization of 961 is 31 x 31

Prime Factorization of 805 is 5 x 7 x 23

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(765, 183) = 46665

GCD(765, 183) = ( 765 x 183 ) / 46665

GCD(765, 183) = 139995 / 46665

GCD(765, 183) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 765, 183, 961, 805 is 1

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1. What is the GCD of 765, 183, 961, 805?

GCD of 765, 183, 961, 805 is 1

2. Where do I get the detailed procedure to find GCD of 765, 183, 961, 805?

You can find a detailed procedure to find GCD of 765, 183, 961, 805 on our page.

3. How to find GCD of 765, 183, 961, 805 on a calculator?

You can find the GCD of 765, 183, 961, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.