GCD of 506, 369, 11, 385 Calculator

Given Input numbers are 506, 369, 11, 385

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 506, 369, 11, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 369, 11, 385 is 1.

Therefore, GCD of numbers 506, 369, 11, 385 is 1

Given Input Data is 506, 369, 11, 385

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 11 is 11

Prime Factorization of 385 is 5 x 7 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(506, 369) = 186714

GCD(506, 369) = ( 506 x 369 ) / 186714

GCD(506, 369) = 186714 / 186714

GCD(506, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 506, 369, 11, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 632, 54, 343
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• GCD of 701, 282, 72, 825
• GCD of 379, 286, 22, 166
• GCD of 644, 921, 78, 142

1. What is the GCD of 506, 369, 11, 385?

GCD of 506, 369, 11, 385 is 1

2. Where do I get the detailed procedure to find GCD of 506, 369, 11, 385?

You can find a detailed procedure to find GCD of 506, 369, 11, 385 on our page.

3. How to find GCD of 506, 369, 11, 385 on a calculator?

You can find the GCD of 506, 369, 11, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.