GCD of 558, 359, 42, 901 Calculator

Given Input numbers are 558, 359, 42, 901

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

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 558, 359, 42, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 359, 42, 901 is 1.

Therefore, GCD of numbers 558, 359, 42, 901 is 1

Given Input Data is 558, 359, 42, 901

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 359 is 359

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 901 is 17 x 53

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(558, 359) = 200322

GCD(558, 359) = ( 558 x 359 ) / 200322

GCD(558, 359) = 200322 / 200322

GCD(558, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 558, 359, 42, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 407, 42, 910
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• GCD of 878, 850, 40, 374
• GCD of 437, 123, 31, 275
• GCD of 242, 170, 76, 845

1. What is the GCD of 558, 359, 42, 901?

GCD of 558, 359, 42, 901 is 1

2. Where do I get the detailed procedure to find GCD of 558, 359, 42, 901?

You can find a detailed procedure to find GCD of 558, 359, 42, 901 on our page.

3. How to find GCD of 558, 359, 42, 901 on a calculator?

You can find the GCD of 558, 359, 42, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.