GCD of 684, 444, 620, 219 Calculator

Given Input numbers are 684, 444, 620, 219

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 684, 444, 620, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 444, 620, 219 is 1.

Therefore, GCD of numbers 684, 444, 620, 219 is 1

Given Input Data is 684, 444, 620, 219

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 219 is 3 x 73

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(684, 444) = 25308

GCD(684, 444) = ( 684 x 444 ) / 25308

GCD(684, 444) = 303696 / 25308

GCD(684, 444) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 620

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

LCM(12, 620) = 1860

GCD(12, 620) = ( 12 x 620 ) / 1860

GCD(12, 620) = 7440 / 1860

GCD(12, 620) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 219

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

LCM(4, 219) = 876

GCD(4, 219) = ( 4 x 219 ) / 876

GCD(4, 219) = 876 / 876

GCD(4, 219) = 1

GCD of 684, 444, 620, 219 is 1

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1. What is the GCD of 684, 444, 620, 219?

GCD of 684, 444, 620, 219 is 1

2. Where do I get the detailed procedure to find GCD of 684, 444, 620, 219?

You can find a detailed procedure to find GCD of 684, 444, 620, 219 on our page.

3. How to find GCD of 684, 444, 620, 219 on a calculator?

You can find the GCD of 684, 444, 620, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.