GCD of 208, 803, 820 Calculator

Given Input numbers are 208, 803, 820

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 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 208, 803, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 803, 820 is 1.

Therefore, GCD of numbers 208, 803, 820 is 1

Given Input Data is 208, 803, 820

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 803 is 11 x 73

Prime Factorization of 820 is 2 x 2 x 5 x 41

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, 803) = 167024

GCD(208, 803) = ( 208 x 803 ) / 167024

GCD(208, 803) = 167024 / 167024

GCD(208, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 208, 803, 820 is 1

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1. What is the GCD of 208, 803, 820?

GCD of 208, 803, 820 is 1

2. Where do I get the detailed procedure to find GCD of 208, 803, 820?

You can find a detailed procedure to find GCD of 208, 803, 820 on our page.

3. How to find GCD of 208, 803, 820 on a calculator?

You can find the GCD of 208, 803, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.