GCD of 20, 687, 336, 213 Calculator

Given Input numbers are 20, 687, 336, 213

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 687

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

1, 3, 229, 687

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 20, 687, 336, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 687, 336, 213 is 1.

Therefore, GCD of numbers 20, 687, 336, 213 is 1

Given Input Data is 20, 687, 336, 213

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 687 is 3 x 229

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 213 is 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(20, 687) = 13740

GCD(20, 687) = ( 20 x 687 ) / 13740

GCD(20, 687) = 13740 / 13740

GCD(20, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 20, 687, 336, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 864, 515, 435
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• GCD of 13, 740, 880, 398
• GCD of 20, 340, 307, 259
• GCD of 63, 112, 581, 732

1. What is the GCD of 20, 687, 336, 213?

GCD of 20, 687, 336, 213 is 1

2. Where do I get the detailed procedure to find GCD of 20, 687, 336, 213?

You can find a detailed procedure to find GCD of 20, 687, 336, 213 on our page.

3. How to find GCD of 20, 687, 336, 213 on a calculator?

You can find the GCD of 20, 687, 336, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.