GCD of 208, 606, 72, 195 Calculator

Given Input numbers are 208, 606, 72, 195

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 208, 606, 72, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 606, 72, 195 is 1.

Therefore, GCD of numbers 208, 606, 72, 195 is 1

Given Input Data is 208, 606, 72, 195

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 195 is 3 x 5 x 13

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(208, 606) = 63024

GCD(208, 606) = ( 208 x 606 ) / 63024

GCD(208, 606) = 126048 / 63024

GCD(208, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

GCD of 208, 606, 72, 195 is 1

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1. What is the GCD of 208, 606, 72, 195?

GCD of 208, 606, 72, 195 is 1

2. Where do I get the detailed procedure to find GCD of 208, 606, 72, 195?

You can find a detailed procedure to find GCD of 208, 606, 72, 195 on our page.

3. How to find GCD of 208, 606, 72, 195 on a calculator?

You can find the GCD of 208, 606, 72, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.