GCD of 252, 511, 767, 363 Calculator

Given Input numbers are 252, 511, 767, 363

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 252, 511, 767, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 511, 767, 363 is 1.

Therefore, GCD of numbers 252, 511, 767, 363 is 1

Given Input Data is 252, 511, 767, 363

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 511 is 7 x 73

Prime Factorization of 767 is 13 x 59

Prime Factorization of 363 is 3 x 11 x 11

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(252, 511) = 18396

GCD(252, 511) = ( 252 x 511 ) / 18396

GCD(252, 511) = 128772 / 18396

GCD(252, 511) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 767

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

LCM(7, 767) = 5369

GCD(7, 767) = ( 7 x 767 ) / 5369

GCD(7, 767) = 5369 / 5369

GCD(7, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 252, 511, 767, 363 is 1

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1. What is the GCD of 252, 511, 767, 363?

GCD of 252, 511, 767, 363 is 1

2. Where do I get the detailed procedure to find GCD of 252, 511, 767, 363?

You can find a detailed procedure to find GCD of 252, 511, 767, 363 on our page.

3. How to find GCD of 252, 511, 767, 363 on a calculator?

You can find the GCD of 252, 511, 767, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.