GCD of 585, 385, 51, 382 Calculator

Given Input numbers are 585, 385, 51, 382

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 385

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

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 585, 385, 51, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 385, 51, 382 is 1.

Therefore, GCD of numbers 585, 385, 51, 382 is 1

Given Input Data is 585, 385, 51, 382

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 382 is 2 x 191

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(585, 385) = 45045

GCD(585, 385) = ( 585 x 385 ) / 45045

GCD(585, 385) = 225225 / 45045

GCD(585, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 51

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

LCM(5, 51) = 255

GCD(5, 51) = ( 5 x 51 ) / 255

GCD(5, 51) = 255 / 255

GCD(5, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 585, 385, 51, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 117, 61, 632
• GCD of 955, 557, 94, 506
• GCD of 268, 103, 13, 126
• GCD of 292, 713, 46, 810
• GCD of 665, 397, 10, 662

1. What is the GCD of 585, 385, 51, 382?

GCD of 585, 385, 51, 382 is 1

2. Where do I get the detailed procedure to find GCD of 585, 385, 51, 382?

You can find a detailed procedure to find GCD of 585, 385, 51, 382 on our page.

3. How to find GCD of 585, 385, 51, 382 on a calculator?

You can find the GCD of 585, 385, 51, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.