GCD of 221, 653, 18, 106 Calculator

Given Input numbers are 221, 653, 18, 106

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 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 221, 653, 18, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 653, 18, 106 is 1.

Therefore, GCD of numbers 221, 653, 18, 106 is 1

Given Input Data is 221, 653, 18, 106

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 653 is 653

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 106 is 2 x 53

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, 653) = 144313

GCD(221, 653) = ( 221 x 653 ) / 144313

GCD(221, 653) = 144313 / 144313

GCD(221, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 221, 653, 18, 106 is 1

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1. What is the GCD of 221, 653, 18, 106?

GCD of 221, 653, 18, 106 is 1

2. Where do I get the detailed procedure to find GCD of 221, 653, 18, 106?

You can find a detailed procedure to find GCD of 221, 653, 18, 106 on our page.

3. How to find GCD of 221, 653, 18, 106 on a calculator?

You can find the GCD of 221, 653, 18, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.