GCD of 588, 418, 659, 681 Calculator

Given Input numbers are 588, 418, 659, 681

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 588, 418, 659, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 418, 659, 681 is 1.

Therefore, GCD of numbers 588, 418, 659, 681 is 1

Given Input Data is 588, 418, 659, 681

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 418 is 2 x 11 x 19

Prime Factorization of 659 is 659

Prime Factorization of 681 is 3 x 227

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, 418) = 122892

GCD(588, 418) = ( 588 x 418 ) / 122892

GCD(588, 418) = 245784 / 122892

GCD(588, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 588, 418, 659, 681 is 1

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1. What is the GCD of 588, 418, 659, 681?

GCD of 588, 418, 659, 681 is 1

2. Where do I get the detailed procedure to find GCD of 588, 418, 659, 681?

You can find a detailed procedure to find GCD of 588, 418, 659, 681 on our page.

3. How to find GCD of 588, 418, 659, 681 on a calculator?

You can find the GCD of 588, 418, 659, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.