GCD of 203, 209, 600, 106 Calculator

Given Input numbers are 203, 209, 600, 106

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 209

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

1, 11, 19, 209

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 203, 209, 600, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 209, 600, 106 is 1.

Therefore, GCD of numbers 203, 209, 600, 106 is 1

Given Input Data is 203, 209, 600, 106

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 209 is 11 x 19

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 106 is 2 x 53

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(203, 209) = 42427

GCD(203, 209) = ( 203 x 209 ) / 42427

GCD(203, 209) = 42427 / 42427

GCD(203, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 203, 209, 600, 106 is 1

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1. What is the GCD of 203, 209, 600, 106?

GCD of 203, 209, 600, 106 is 1

2. Where do I get the detailed procedure to find GCD of 203, 209, 600, 106?

You can find a detailed procedure to find GCD of 203, 209, 600, 106 on our page.

3. How to find GCD of 203, 209, 600, 106 on a calculator?

You can find the GCD of 203, 209, 600, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.