GCD of 19, 624, 221, 969 Calculator

Given Input numbers are 19, 624, 221, 969

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 221

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

1, 13, 17, 221

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 19, 624, 221, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 624, 221, 969 is 1.

Therefore, GCD of numbers 19, 624, 221, 969 is 1

Given Input Data is 19, 624, 221, 969

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

Prime Factorization of 19 is 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 221 is 13 x 17

Prime Factorization of 969 is 3 x 17 x 19

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(19, 624) = 11856

GCD(19, 624) = ( 19 x 624 ) / 11856

GCD(19, 624) = 11856 / 11856

GCD(19, 624) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 19, 624, 221, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 481, 449, 489
• GCD of 55, 673, 367, 758
• GCD of 62, 725, 523, 912
• GCD of 43, 655, 614, 333
• GCD of 90, 478, 194, 367

1. What is the GCD of 19, 624, 221, 969?

GCD of 19, 624, 221, 969 is 1

2. Where do I get the detailed procedure to find GCD of 19, 624, 221, 969?

You can find a detailed procedure to find GCD of 19, 624, 221, 969 on our page.

3. How to find GCD of 19, 624, 221, 969 on a calculator?

You can find the GCD of 19, 624, 221, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.