GCD of 351, 582, 664, 363 Calculator

Given Input numbers are 351, 582, 664, 363

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 351, 582, 664, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 582, 664, 363 is 1.

Therefore, GCD of numbers 351, 582, 664, 363 is 1

Given Input Data is 351, 582, 664, 363

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(351, 582) = 68094

GCD(351, 582) = ( 351 x 582 ) / 68094

GCD(351, 582) = 204282 / 68094

GCD(351, 582) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 664

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

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

GCD(3, 664) = 1992 / 1992

GCD(3, 664) = 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 351, 582, 664, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 166, 362, 990
• GCD of 216, 724, 153, 387
• GCD of 473, 117, 584, 332
• GCD of 271, 192, 848, 318
• GCD of 204, 463, 346, 559

1. What is the GCD of 351, 582, 664, 363?

GCD of 351, 582, 664, 363 is 1

2. Where do I get the detailed procedure to find GCD of 351, 582, 664, 363?

You can find a detailed procedure to find GCD of 351, 582, 664, 363 on our page.

3. How to find GCD of 351, 582, 664, 363 on a calculator?

You can find the GCD of 351, 582, 664, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.