GCD of 598, 118, 908, 399 Calculator

Given Input numbers are 598, 118, 908, 399

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 598, 118, 908, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 118, 908, 399 is 1.

Therefore, GCD of numbers 598, 118, 908, 399 is 1

Given Input Data is 598, 118, 908, 399

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 118 is 2 x 59

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 399 is 3 x 7 x 19

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, 118) = 35282

GCD(598, 118) = ( 598 x 118 ) / 35282

GCD(598, 118) = 70564 / 35282

GCD(598, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 908

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

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

GCD(2, 908) = 1816 / 908

GCD(2, 908) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

GCD of 598, 118, 908, 399 is 1

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1. What is the GCD of 598, 118, 908, 399?

GCD of 598, 118, 908, 399 is 1

2. Where do I get the detailed procedure to find GCD of 598, 118, 908, 399?

You can find a detailed procedure to find GCD of 598, 118, 908, 399 on our page.

3. How to find GCD of 598, 118, 908, 399 on a calculator?

You can find the GCD of 598, 118, 908, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.