GCD of 800, 221, 11, 639 Calculator

Given Input numbers are 800, 221, 11, 639

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 800, 221, 11, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 221, 11, 639 is 1.

Therefore, GCD of numbers 800, 221, 11, 639 is 1

Given Input Data is 800, 221, 11, 639

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 221 is 13 x 17

Prime Factorization of 11 is 11

Prime Factorization of 639 is 3 x 3 x 71

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(800, 221) = 176800

GCD(800, 221) = ( 800 x 221 ) / 176800

GCD(800, 221) = 176800 / 176800

GCD(800, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 800, 221, 11, 639 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 369, 96, 992
• GCD of 625, 818, 14, 975
• GCD of 990, 439, 31, 439
• GCD of 565, 181, 49, 195
• GCD of 563, 488, 85, 999

1. What is the GCD of 800, 221, 11, 639?

GCD of 800, 221, 11, 639 is 1

2. Where do I get the detailed procedure to find GCD of 800, 221, 11, 639?

You can find a detailed procedure to find GCD of 800, 221, 11, 639 on our page.

3. How to find GCD of 800, 221, 11, 639 on a calculator?

You can find the GCD of 800, 221, 11, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.