GCD of 588, 759, 591, 161 Calculator

Given Input numbers are 588, 759, 591, 161

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 588, 759, 591, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 759, 591, 161 is 1.

Therefore, GCD of numbers 588, 759, 591, 161 is 1

Given Input Data is 588, 759, 591, 161

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 759 is 3 x 11 x 23

Prime Factorization of 591 is 3 x 197

Prime Factorization of 161 is 7 x 23

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, 759) = 148764

GCD(588, 759) = ( 588 x 759 ) / 148764

GCD(588, 759) = 446292 / 148764

GCD(588, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 591

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

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

GCD(3, 591) = 1773 / 591

GCD(3, 591) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 161

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

LCM(3, 161) = 483

GCD(3, 161) = ( 3 x 161 ) / 483

GCD(3, 161) = 483 / 483

GCD(3, 161) = 1

GCD of 588, 759, 591, 161 is 1

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• GCD of 577, 475, 477, 871
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• GCD of 323, 789, 645, 780

1. What is the GCD of 588, 759, 591, 161?

GCD of 588, 759, 591, 161 is 1

2. Where do I get the detailed procedure to find GCD of 588, 759, 591, 161?

You can find a detailed procedure to find GCD of 588, 759, 591, 161 on our page.

3. How to find GCD of 588, 759, 591, 161 on a calculator?

You can find the GCD of 588, 759, 591, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.