GCD of 898, 634, 19, 572 Calculator

Given Input numbers are 898, 634, 19, 572

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 19

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

1, 19

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 898, 634, 19, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 634, 19, 572 is 1.

Therefore, GCD of numbers 898, 634, 19, 572 is 1

Given Input Data is 898, 634, 19, 572

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 634 is 2 x 317

Prime Factorization of 19 is 19

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(898, 634) = 284666

GCD(898, 634) = ( 898 x 634 ) / 284666

GCD(898, 634) = 569332 / 284666

GCD(898, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 898, 634, 19, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 531, 83, 310
• GCD of 302, 921, 56, 979
• GCD of 804, 383, 21, 382
• GCD of 100, 103, 42, 885
• GCD of 812, 672, 62, 297

1. What is the GCD of 898, 634, 19, 572?

GCD of 898, 634, 19, 572 is 1

2. Where do I get the detailed procedure to find GCD of 898, 634, 19, 572?

You can find a detailed procedure to find GCD of 898, 634, 19, 572 on our page.

3. How to find GCD of 898, 634, 19, 572 on a calculator?

You can find the GCD of 898, 634, 19, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.