GCD of 598, 402, 17, 558 Calculator

Given Input numbers are 598, 402, 17, 558

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 598, 402, 17, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 402, 17, 558 is 1.

Therefore, GCD of numbers 598, 402, 17, 558 is 1

Given Input Data is 598, 402, 17, 558

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 17 is 17

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(598, 402) = 120198

GCD(598, 402) = ( 598 x 402 ) / 120198

GCD(598, 402) = 240396 / 120198

GCD(598, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 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 598, 402, 17, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 484, 24, 446
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• GCD of 749, 938, 30, 573
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• GCD of 227, 744, 12, 404

1. What is the GCD of 598, 402, 17, 558?

GCD of 598, 402, 17, 558 is 1

2. Where do I get the detailed procedure to find GCD of 598, 402, 17, 558?

You can find a detailed procedure to find GCD of 598, 402, 17, 558 on our page.

3. How to find GCD of 598, 402, 17, 558 on a calculator?

You can find the GCD of 598, 402, 17, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.