GCD of 588, 418, 607, 164 Calculator

Given Input numbers are 588, 418, 607, 164

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 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 588, 418, 607, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 418, 607, 164 is 1.

Therefore, GCD of numbers 588, 418, 607, 164 is 1

Given Input Data is 588, 418, 607, 164

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 607 is 607

Prime Factorization of 164 is 2 x 2 x 41

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 607

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

LCM(2, 607) = 1214

GCD(2, 607) = ( 2 x 607 ) / 1214

GCD(2, 607) = 1214 / 1214

GCD(2, 607) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 588, 418, 607, 164 is 1

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1. What is the GCD of 588, 418, 607, 164?

GCD of 588, 418, 607, 164 is 1

2. Where do I get the detailed procedure to find GCD of 588, 418, 607, 164?

You can find a detailed procedure to find GCD of 588, 418, 607, 164 on our page.

3. How to find GCD of 588, 418, 607, 164 on a calculator?

You can find the GCD of 588, 418, 607, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.