GCD of 90, 582, 404, 647 Calculator

Given Input numbers are 90, 582, 404, 647

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 90, 582, 404, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 582, 404, 647 is 1.

Therefore, GCD of numbers 90, 582, 404, 647 is 1

Given Input Data is 90, 582, 404, 647

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 647 is 647

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(90, 582) = 8730

GCD(90, 582) = ( 90 x 582 ) / 8730

GCD(90, 582) = 52380 / 8730

GCD(90, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 404

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

LCM(6, 404) = 1212

GCD(6, 404) = ( 6 x 404 ) / 1212

GCD(6, 404) = 2424 / 1212

GCD(6, 404) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 647

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

LCM(2, 647) = 1294

GCD(2, 647) = ( 2 x 647 ) / 1294

GCD(2, 647) = 1294 / 1294

GCD(2, 647) = 1

GCD of 90, 582, 404, 647 is 1

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• GCD of 60, 537, 234, 215
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1. What is the GCD of 90, 582, 404, 647?

GCD of 90, 582, 404, 647 is 1

2. Where do I get the detailed procedure to find GCD of 90, 582, 404, 647?

You can find a detailed procedure to find GCD of 90, 582, 404, 647 on our page.

3. How to find GCD of 90, 582, 404, 647 on a calculator?

You can find the GCD of 90, 582, 404, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.