GCD of 588, 608, 368, 909 Calculator

Given Input numbers are 588, 608, 368, 909

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 588, 608, 368, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 608, 368, 909 is 1.

Therefore, GCD of numbers 588, 608, 368, 909 is 1

Given Input Data is 588, 608, 368, 909

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 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 909 is 3 x 3 x 101

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, 608) = 89376

GCD(588, 608) = ( 588 x 608 ) / 89376

GCD(588, 608) = 357504 / 89376

GCD(588, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 368

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

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

GCD(4, 368) = 1472 / 368

GCD(4, 368) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 909

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

LCM(4, 909) = 3636

GCD(4, 909) = ( 4 x 909 ) / 3636

GCD(4, 909) = 3636 / 3636

GCD(4, 909) = 1

GCD of 588, 608, 368, 909 is 1

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1. What is the GCD of 588, 608, 368, 909?

GCD of 588, 608, 368, 909 is 1

2. Where do I get the detailed procedure to find GCD of 588, 608, 368, 909?

You can find a detailed procedure to find GCD of 588, 608, 368, 909 on our page.

3. How to find GCD of 588, 608, 368, 909 on a calculator?

You can find the GCD of 588, 608, 368, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.