GCD of 209, 881, 998, 971 Calculator

Given Input numbers are 209, 881, 998, 971

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 881

List of positive integer divisors of 881 that divides 881 without a remainder.

1, 881

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 209, 881, 998, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 881, 998, 971 is 1.

Therefore, GCD of numbers 209, 881, 998, 971 is 1

Given Input Data is 209, 881, 998, 971

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 881 is 881

Prime Factorization of 998 is 2 x 499

Prime Factorization of 971 is 971

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(209, 881) = 184129

GCD(209, 881) = ( 209 x 881 ) / 184129

GCD(209, 881) = 184129 / 184129

GCD(209, 881) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 209, 881, 998, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 582, 300, 650
• GCD of 954, 150, 277, 110
• GCD of 142, 997, 368, 134
• GCD of 472, 385, 302, 981
• GCD of 718, 251, 525, 595

1. What is the GCD of 209, 881, 998, 971?

GCD of 209, 881, 998, 971 is 1

2. Where do I get the detailed procedure to find GCD of 209, 881, 998, 971?

You can find a detailed procedure to find GCD of 209, 881, 998, 971 on our page.

3. How to find GCD of 209, 881, 998, 971 on a calculator?

You can find the GCD of 209, 881, 998, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.