GCD of 21, 352, 218, 779 Calculator

Given Input numbers are 21, 352, 218, 779

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 21, 352, 218, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 352, 218, 779 is 1.

Therefore, GCD of numbers 21, 352, 218, 779 is 1

Given Input Data is 21, 352, 218, 779

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 218 is 2 x 109

Prime Factorization of 779 is 19 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(21, 352) = 7392

GCD(21, 352) = ( 21 x 352 ) / 7392

GCD(21, 352) = 7392 / 7392

GCD(21, 352) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 21, 352, 218, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 768, 133, 514
• GCD of 16, 589, 221, 472
• GCD of 43, 816, 519, 833
• GCD of 68, 166, 501, 712
• GCD of 50, 606, 404, 498

1. What is the GCD of 21, 352, 218, 779?

GCD of 21, 352, 218, 779 is 1

2. Where do I get the detailed procedure to find GCD of 21, 352, 218, 779?

You can find a detailed procedure to find GCD of 21, 352, 218, 779 on our page.

3. How to find GCD of 21, 352, 218, 779 on a calculator?

You can find the GCD of 21, 352, 218, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.