GCD of 594, 945, 460, 637 Calculator

Given Input numbers are 594, 945, 460, 637

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 637

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

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 594, 945, 460, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 945, 460, 637 is 1.

Therefore, GCD of numbers 594, 945, 460, 637 is 1

Given Input Data is 594, 945, 460, 637

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 637 is 7 x 7 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(594, 945) = 20790

GCD(594, 945) = ( 594 x 945 ) / 20790

GCD(594, 945) = 561330 / 20790

GCD(594, 945) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 460

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

LCM(27, 460) = 12420

GCD(27, 460) = ( 27 x 460 ) / 12420

GCD(27, 460) = 12420 / 12420

GCD(27, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 594, 945, 460, 637 is 1

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1. What is the GCD of 594, 945, 460, 637?

GCD of 594, 945, 460, 637 is 1

2. Where do I get the detailed procedure to find GCD of 594, 945, 460, 637?

You can find a detailed procedure to find GCD of 594, 945, 460, 637 on our page.

3. How to find GCD of 594, 945, 460, 637 on a calculator?

You can find the GCD of 594, 945, 460, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.