GCD of 765, 636, 993, 427 Calculator

Given Input numbers are 765, 636, 993, 427

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 765, 636, 993, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 636, 993, 427 is 1.

Therefore, GCD of numbers 765, 636, 993, 427 is 1

Given Input Data is 765, 636, 993, 427

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 993 is 3 x 331

Prime Factorization of 427 is 7 x 61

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, 636) = 162180

GCD(765, 636) = ( 765 x 636 ) / 162180

GCD(765, 636) = 486540 / 162180

GCD(765, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 427

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

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

GCD(3, 427) = 1281 / 1281

GCD(3, 427) = 1

GCD of 765, 636, 993, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 154, 457, 632
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• GCD of 542, 641, 864, 390

1. What is the GCD of 765, 636, 993, 427?

GCD of 765, 636, 993, 427 is 1

2. Where do I get the detailed procedure to find GCD of 765, 636, 993, 427?

You can find a detailed procedure to find GCD of 765, 636, 993, 427 on our page.

3. How to find GCD of 765, 636, 993, 427 on a calculator?

You can find the GCD of 765, 636, 993, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.