GCD of 220, 610, 15, 594 Calculator

Given Input numbers are 220, 610, 15, 594

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 220, 610, 15, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 610, 15, 594 is 1.

Therefore, GCD of numbers 220, 610, 15, 594 is 1

Given Input Data is 220, 610, 15, 594

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 15 is 3 x 5

Prime Factorization of 594 is 2 x 3 x 3 x 3 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(220, 610) = 13420

GCD(220, 610) = ( 220 x 610 ) / 13420

GCD(220, 610) = 134200 / 13420

GCD(220, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 15

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

LCM(10, 15) = 30

GCD(10, 15) = ( 10 x 15 ) / 30

GCD(10, 15) = 150 / 30

GCD(10, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 594

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

LCM(5, 594) = 2970

GCD(5, 594) = ( 5 x 594 ) / 2970

GCD(5, 594) = 2970 / 2970

GCD(5, 594) = 1

GCD of 220, 610, 15, 594 is 1

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1. What is the GCD of 220, 610, 15, 594?

GCD of 220, 610, 15, 594 is 1

2. Where do I get the detailed procedure to find GCD of 220, 610, 15, 594?

You can find a detailed procedure to find GCD of 220, 610, 15, 594 on our page.

3. How to find GCD of 220, 610, 15, 594 on a calculator?

You can find the GCD of 220, 610, 15, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.