GCD of 21, 197, 200, 989 Calculator

Given Input numbers are 21, 197, 200, 989

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 21, 197, 200, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 197, 200, 989 is 1.

Therefore, GCD of numbers 21, 197, 200, 989 is 1

Given Input Data is 21, 197, 200, 989

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 197 is 197

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(21, 197) = 4137

GCD(21, 197) = ( 21 x 197 ) / 4137

GCD(21, 197) = 4137 / 4137

GCD(21, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 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 21, 197, 200, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 312, 713, 949
• GCD of 62, 813, 960, 903
• GCD of 29, 818, 572, 649
• GCD of 61, 261, 646, 881
• GCD of 75, 705, 552, 348

1. What is the GCD of 21, 197, 200, 989?

GCD of 21, 197, 200, 989 is 1

2. Where do I get the detailed procedure to find GCD of 21, 197, 200, 989?

You can find a detailed procedure to find GCD of 21, 197, 200, 989 on our page.

3. How to find GCD of 21, 197, 200, 989 on a calculator?

You can find the GCD of 21, 197, 200, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.