GCD of 588, 316, 460, 401 Calculator

Given Input numbers are 588, 316, 460, 401

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 588, 316, 460, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 316, 460, 401 is 1.

Therefore, GCD of numbers 588, 316, 460, 401 is 1

Given Input Data is 588, 316, 460, 401

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 316 is 2 x 2 x 79

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

Prime Factorization of 401 is 401

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(588, 316) = 46452

GCD(588, 316) = ( 588 x 316 ) / 46452

GCD(588, 316) = 185808 / 46452

GCD(588, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 460

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

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

GCD(4, 460) = 1840 / 460

GCD(4, 460) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 401

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

LCM(4, 401) = 1604

GCD(4, 401) = ( 4 x 401 ) / 1604

GCD(4, 401) = 1604 / 1604

GCD(4, 401) = 1

GCD of 588, 316, 460, 401 is 1

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1. What is the GCD of 588, 316, 460, 401?

GCD of 588, 316, 460, 401 is 1

2. Where do I get the detailed procedure to find GCD of 588, 316, 460, 401?

You can find a detailed procedure to find GCD of 588, 316, 460, 401 on our page.

3. How to find GCD of 588, 316, 460, 401 on a calculator?

You can find the GCD of 588, 316, 460, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.