GCD of 598, 359, 348, 990 Calculator

Given Input numbers are 598, 359, 348, 990

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 359

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

1, 359

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 598, 359, 348, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 359, 348, 990 is 1.

Therefore, GCD of numbers 598, 359, 348, 990 is 1

Given Input Data is 598, 359, 348, 990

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 359 is 359

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 359) = 214682

GCD(598, 359) = ( 598 x 359 ) / 214682

GCD(598, 359) = 214682 / 214682

GCD(598, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 598, 359, 348, 990 is 1

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1. What is the GCD of 598, 359, 348, 990?

GCD of 598, 359, 348, 990 is 1

2. Where do I get the detailed procedure to find GCD of 598, 359, 348, 990?

You can find a detailed procedure to find GCD of 598, 359, 348, 990 on our page.

3. How to find GCD of 598, 359, 348, 990 on a calculator?

You can find the GCD of 598, 359, 348, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.