GCD of 209, 898, 372, 961 Calculator

Given Input numbers are 209, 898, 372, 961

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 209, 898, 372, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 898, 372, 961 is 1.

Therefore, GCD of numbers 209, 898, 372, 961 is 1

Given Input Data is 209, 898, 372, 961

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 898 is 2 x 449

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 961 is 31 x 31

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, 898) = 187682

GCD(209, 898) = ( 209 x 898 ) / 187682

GCD(209, 898) = 187682 / 187682

GCD(209, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 209, 898, 372, 961 is 1

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1. What is the GCD of 209, 898, 372, 961?

GCD of 209, 898, 372, 961 is 1

2. Where do I get the detailed procedure to find GCD of 209, 898, 372, 961?

You can find a detailed procedure to find GCD of 209, 898, 372, 961 on our page.

3. How to find GCD of 209, 898, 372, 961 on a calculator?

You can find the GCD of 209, 898, 372, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.