GCD of 570, 297, 74, 369 Calculator

Given Input numbers are 570, 297, 74, 369

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

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 570, 297, 74, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 297, 74, 369 is 1.

Therefore, GCD of numbers 570, 297, 74, 369 is 1

Given Input Data is 570, 297, 74, 369

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 369 is 3 x 3 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(570, 297) = 56430

GCD(570, 297) = ( 570 x 297 ) / 56430

GCD(570, 297) = 169290 / 56430

GCD(570, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 570, 297, 74, 369 is 1

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1. What is the GCD of 570, 297, 74, 369?

GCD of 570, 297, 74, 369 is 1

2. Where do I get the detailed procedure to find GCD of 570, 297, 74, 369?

You can find a detailed procedure to find GCD of 570, 297, 74, 369 on our page.

3. How to find GCD of 570, 297, 74, 369 on a calculator?

You can find the GCD of 570, 297, 74, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.