GCD of 220, 422, 17, 989 Calculator

Given Input numbers are 220, 422, 17, 989

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 220, 422, 17, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 422, 17, 989 is 1.

Therefore, GCD of numbers 220, 422, 17, 989 is 1

Given Input Data is 220, 422, 17, 989

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 422 is 2 x 211

Prime Factorization of 17 is 17

Prime Factorization of 989 is 23 x 43

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, 422) = 46420

GCD(220, 422) = ( 220 x 422 ) / 46420

GCD(220, 422) = 92840 / 46420

GCD(220, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 220, 422, 17, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 639, 48, 313
• GCD of 545, 945, 60, 926
• GCD of 724, 942, 98, 620
• GCD of 202, 789, 16, 966
• GCD of 324, 538, 52, 956

1. What is the GCD of 220, 422, 17, 989?

GCD of 220, 422, 17, 989 is 1

2. Where do I get the detailed procedure to find GCD of 220, 422, 17, 989?

You can find a detailed procedure to find GCD of 220, 422, 17, 989 on our page.

3. How to find GCD of 220, 422, 17, 989 on a calculator?

You can find the GCD of 220, 422, 17, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.