GCD of 269, 390, 21, 570 Calculator

Given Input numbers are 269, 390, 21, 570

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 21

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

1, 3, 7, 21

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 269, 390, 21, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 390, 21, 570 is 1.

Therefore, GCD of numbers 269, 390, 21, 570 is 1

Given Input Data is 269, 390, 21, 570

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

Prime Factorization of 269 is 269

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 570 is 2 x 3 x 5 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(269, 390) = 104910

GCD(269, 390) = ( 269 x 390 ) / 104910

GCD(269, 390) = 104910 / 104910

GCD(269, 390) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 269, 390, 21, 570 is 1

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1. What is the GCD of 269, 390, 21, 570?

GCD of 269, 390, 21, 570 is 1

2. Where do I get the detailed procedure to find GCD of 269, 390, 21, 570?

You can find a detailed procedure to find GCD of 269, 390, 21, 570 on our page.

3. How to find GCD of 269, 390, 21, 570 on a calculator?

You can find the GCD of 269, 390, 21, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.