GCD of 164, 735, 590, 558 Calculator

Given Input numbers are 164, 735, 590, 558

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 164, 735, 590, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 735, 590, 558 is 1.

Therefore, GCD of numbers 164, 735, 590, 558 is 1

Given Input Data is 164, 735, 590, 558

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 558 is 2 x 3 x 3 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(164, 735) = 120540

GCD(164, 735) = ( 164 x 735 ) / 120540

GCD(164, 735) = 120540 / 120540

GCD(164, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 164, 735, 590, 558 is 1

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1. What is the GCD of 164, 735, 590, 558?

GCD of 164, 735, 590, 558 is 1

2. Where do I get the detailed procedure to find GCD of 164, 735, 590, 558?

You can find a detailed procedure to find GCD of 164, 735, 590, 558 on our page.

3. How to find GCD of 164, 735, 590, 558 on a calculator?

You can find the GCD of 164, 735, 590, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.