GCD of 468, 962, 593, 420 Calculator

Given Input numbers are 468, 962, 593, 420

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 468, 962, 593, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 962, 593, 420 is 1.

Therefore, GCD of numbers 468, 962, 593, 420 is 1

Given Input Data is 468, 962, 593, 420

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 593 is 593

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(468, 962) = 17316

GCD(468, 962) = ( 468 x 962 ) / 17316

GCD(468, 962) = 450216 / 17316

GCD(468, 962) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 593

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

LCM(26, 593) = 15418

GCD(26, 593) = ( 26 x 593 ) / 15418

GCD(26, 593) = 15418 / 15418

GCD(26, 593) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 468, 962, 593, 420 is 1

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1. What is the GCD of 468, 962, 593, 420?

GCD of 468, 962, 593, 420 is 1

2. Where do I get the detailed procedure to find GCD of 468, 962, 593, 420?

You can find a detailed procedure to find GCD of 468, 962, 593, 420 on our page.

3. How to find GCD of 468, 962, 593, 420 on a calculator?

You can find the GCD of 468, 962, 593, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.