GCD of 208, 832, 687, 836 Calculator

Given Input numbers are 208, 832, 687, 836

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 208, 832, 687, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 832, 687, 836 is 1.

Therefore, GCD of numbers 208, 832, 687, 836 is 1

Given Input Data is 208, 832, 687, 836

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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 687 is 3 x 229

Prime Factorization of 836 is 2 x 2 x 11 x 19

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, 832) = 832

GCD(208, 832) = ( 208 x 832 ) / 832

GCD(208, 832) = 173056 / 832

GCD(208, 832) = 208

Step2:

Here we consider the GCD from the above i.e. 208 as first number and the next as 687

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

LCM(208, 687) = 142896

GCD(208, 687) = ( 208 x 687 ) / 142896

GCD(208, 687) = 142896 / 142896

GCD(208, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 208, 832, 687, 836 is 1

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1. What is the GCD of 208, 832, 687, 836?

GCD of 208, 832, 687, 836 is 1

2. Where do I get the detailed procedure to find GCD of 208, 832, 687, 836?

You can find a detailed procedure to find GCD of 208, 832, 687, 836 on our page.

3. How to find GCD of 208, 832, 687, 836 on a calculator?

You can find the GCD of 208, 832, 687, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.