GCD of 570, 637, 42, 742 Calculator

Given Input numbers are 570, 637, 42, 742

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 570, 637, 42, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 637, 42, 742 is 1.

Therefore, GCD of numbers 570, 637, 42, 742 is 1

Given Input Data is 570, 637, 42, 742

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 637 is 7 x 7 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 742 is 2 x 7 x 53

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, 637) = 363090

GCD(570, 637) = ( 570 x 637 ) / 363090

GCD(570, 637) = 363090 / 363090

GCD(570, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 570, 637, 42, 742 is 1

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1. What is the GCD of 570, 637, 42, 742?

GCD of 570, 637, 42, 742 is 1

2. Where do I get the detailed procedure to find GCD of 570, 637, 42, 742?

You can find a detailed procedure to find GCD of 570, 637, 42, 742 on our page.

3. How to find GCD of 570, 637, 42, 742 on a calculator?

You can find the GCD of 570, 637, 42, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.