GCD of 209, 838, 801 Calculator

Given Input numbers are 209, 838, 801

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 209, 838, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 838, 801 is 1.

Therefore, GCD of numbers 209, 838, 801 is 1

Given Input Data is 209, 838, 801

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 838 is 2 x 419

Prime Factorization of 801 is 3 x 3 x 89

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(209, 838) = 175142

GCD(209, 838) = ( 209 x 838 ) / 175142

GCD(209, 838) = 175142 / 175142

GCD(209, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 209, 838, 801 is 1

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1. What is the GCD of 209, 838, 801?

GCD of 209, 838, 801 is 1

2. Where do I get the detailed procedure to find GCD of 209, 838, 801?

You can find a detailed procedure to find GCD of 209, 838, 801 on our page.

3. How to find GCD of 209, 838, 801 on a calculator?

You can find the GCD of 209, 838, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.