GCD of 90, 582, 217, 372 Calculator

Given Input numbers are 90, 582, 217, 372

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 90, 582, 217, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 582, 217, 372 is 1.

Therefore, GCD of numbers 90, 582, 217, 372 is 1

Given Input Data is 90, 582, 217, 372

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 217 is 7 x 31

Prime Factorization of 372 is 2 x 2 x 3 x 31

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 217

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

LCM(6, 217) = 1302

GCD(6, 217) = ( 6 x 217 ) / 1302

GCD(6, 217) = 1302 / 1302

GCD(6, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 90, 582, 217, 372 is 1

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1. What is the GCD of 90, 582, 217, 372?

GCD of 90, 582, 217, 372 is 1

2. Where do I get the detailed procedure to find GCD of 90, 582, 217, 372?

You can find a detailed procedure to find GCD of 90, 582, 217, 372 on our page.

3. How to find GCD of 90, 582, 217, 372 on a calculator?

You can find the GCD of 90, 582, 217, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.