GCD of 363, 586, 704, 467 Calculator

Given Input numbers are 363, 586, 704, 467

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

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 363, 586, 704, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 586, 704, 467 is 1.

Therefore, GCD of numbers 363, 586, 704, 467 is 1

Given Input Data is 363, 586, 704, 467

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 586 is 2 x 293

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 467 is 467

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(363, 586) = 212718

GCD(363, 586) = ( 363 x 586 ) / 212718

GCD(363, 586) = 212718 / 212718

GCD(363, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 363, 586, 704, 467 is 1

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1. What is the GCD of 363, 586, 704, 467?

GCD of 363, 586, 704, 467 is 1

2. Where do I get the detailed procedure to find GCD of 363, 586, 704, 467?

You can find a detailed procedure to find GCD of 363, 586, 704, 467 on our page.

3. How to find GCD of 363, 586, 704, 467 on a calculator?

You can find the GCD of 363, 586, 704, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.