GCD of 313, 221, 59, 800 Calculator

Given Input numbers are 313, 221, 59, 800

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 221

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

1, 13, 17, 221

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 313, 221, 59, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 221, 59, 800 is 1.

Therefore, GCD of numbers 313, 221, 59, 800 is 1

Given Input Data is 313, 221, 59, 800

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

Prime Factorization of 313 is 313

Prime Factorization of 221 is 13 x 17

Prime Factorization of 59 is 59

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

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(313, 221) = 69173

GCD(313, 221) = ( 313 x 221 ) / 69173

GCD(313, 221) = 69173 / 69173

GCD(313, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 313, 221, 59, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 906, 10, 124
• GCD of 101, 150, 59, 642
• GCD of 179, 643, 89, 543
• GCD of 971, 840, 19, 695
• GCD of 174, 835, 32, 348

1. What is the GCD of 313, 221, 59, 800?

GCD of 313, 221, 59, 800 is 1

2. Where do I get the detailed procedure to find GCD of 313, 221, 59, 800?

You can find a detailed procedure to find GCD of 313, 221, 59, 800 on our page.

3. How to find GCD of 313, 221, 59, 800 on a calculator?

You can find the GCD of 313, 221, 59, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.