GCD of 164, 842, 99, 598 Calculator

Given Input numbers are 164, 842, 99, 598

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 598

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

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

Greatest Common Divisior

We found the divisors of 164, 842, 99, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 842, 99, 598 is 1.

Therefore, GCD of numbers 164, 842, 99, 598 is 1

Given Input Data is 164, 842, 99, 598

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 842 is 2 x 421

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 598 is 2 x 13 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(164, 842) = 69044

GCD(164, 842) = ( 164 x 842 ) / 69044

GCD(164, 842) = 138088 / 69044

GCD(164, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 164, 842, 99, 598 is 1

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• GCD of 715, 876, 63, 166
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• GCD of 697, 700, 50, 961

1. What is the GCD of 164, 842, 99, 598?

GCD of 164, 842, 99, 598 is 1

2. Where do I get the detailed procedure to find GCD of 164, 842, 99, 598?

You can find a detailed procedure to find GCD of 164, 842, 99, 598 on our page.

3. How to find GCD of 164, 842, 99, 598 on a calculator?

You can find the GCD of 164, 842, 99, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.