GCD of 208, 567, 842 Calculator

Given Input numbers are 208, 567, 842

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 208, 567, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 567, 842 is 1.

Therefore, GCD of numbers 208, 567, 842 is 1

Given Input Data is 208, 567, 842

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 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 842 is 2 x 421

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, 567) = 117936

GCD(208, 567) = ( 208 x 567 ) / 117936

GCD(208, 567) = 117936 / 117936

GCD(208, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 208, 567, 842 is 1

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1. What is the GCD of 208, 567, 842?

GCD of 208, 567, 842 is 1

2. Where do I get the detailed procedure to find GCD of 208, 567, 842?

You can find a detailed procedure to find GCD of 208, 567, 842 on our page.

3. How to find GCD of 208, 567, 842 on a calculator?

You can find the GCD of 208, 567, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.