GCD of 588, 412, 145, 682 Calculator

Given Input numbers are 588, 412, 145, 682

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 588, 412, 145, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 412, 145, 682 is 1.

Therefore, GCD of numbers 588, 412, 145, 682 is 1

Given Input Data is 588, 412, 145, 682

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 412 is 2 x 2 x 103

Prime Factorization of 145 is 5 x 29

Prime Factorization of 682 is 2 x 11 x 31

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, 412) = 60564

GCD(588, 412) = ( 588 x 412 ) / 60564

GCD(588, 412) = 242256 / 60564

GCD(588, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 145

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

LCM(4, 145) = 580

GCD(4, 145) = ( 4 x 145 ) / 580

GCD(4, 145) = 580 / 580

GCD(4, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 588, 412, 145, 682 is 1

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1. What is the GCD of 588, 412, 145, 682?

GCD of 588, 412, 145, 682 is 1

2. Where do I get the detailed procedure to find GCD of 588, 412, 145, 682?

You can find a detailed procedure to find GCD of 588, 412, 145, 682 on our page.

3. How to find GCD of 588, 412, 145, 682 on a calculator?

You can find the GCD of 588, 412, 145, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.