GCD of 221, 189, 47, 610 Calculator

Given Input numbers are 221, 189, 47, 610

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 610

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

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

Greatest Common Divisior

We found the divisors of 221, 189, 47, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 189, 47, 610 is 1.

Therefore, GCD of numbers 221, 189, 47, 610 is 1

Given Input Data is 221, 189, 47, 610

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 47 is 47

Prime Factorization of 610 is 2 x 5 x 61

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(221, 189) = 41769

GCD(221, 189) = ( 221 x 189 ) / 41769

GCD(221, 189) = 41769 / 41769

GCD(221, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 221, 189, 47, 610 is 1

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1. What is the GCD of 221, 189, 47, 610?

GCD of 221, 189, 47, 610 is 1

2. Where do I get the detailed procedure to find GCD of 221, 189, 47, 610?

You can find a detailed procedure to find GCD of 221, 189, 47, 610 on our page.

3. How to find GCD of 221, 189, 47, 610 on a calculator?

You can find the GCD of 221, 189, 47, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.