GCD of 209, 554, 84, 909 Calculator

Given Input numbers are 209, 554, 84, 909

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 209, 554, 84, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 554, 84, 909 is 1.

Therefore, GCD of numbers 209, 554, 84, 909 is 1

Given Input Data is 209, 554, 84, 909

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 554 is 2 x 277

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 909 is 3 x 3 x 101

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, 554) = 115786

GCD(209, 554) = ( 209 x 554 ) / 115786

GCD(209, 554) = 115786 / 115786

GCD(209, 554) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 209, 554, 84, 909 is 1

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1. What is the GCD of 209, 554, 84, 909?

GCD of 209, 554, 84, 909 is 1

2. Where do I get the detailed procedure to find GCD of 209, 554, 84, 909?

You can find a detailed procedure to find GCD of 209, 554, 84, 909 on our page.

3. How to find GCD of 209, 554, 84, 909 on a calculator?

You can find the GCD of 209, 554, 84, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.