GCD of 598, 819, 142, 846 Calculator

Given Input numbers are 598, 819, 142, 846

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 598, 819, 142, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 819, 142, 846 is 1.

Therefore, GCD of numbers 598, 819, 142, 846 is 1

Given Input Data is 598, 819, 142, 846

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 819 is 3 x 3 x 7 x 13

Prime Factorization of 142 is 2 x 71

Prime Factorization of 846 is 2 x 3 x 3 x 47

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, 819) = 37674

GCD(598, 819) = ( 598 x 819 ) / 37674

GCD(598, 819) = 489762 / 37674

GCD(598, 819) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 142

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

LCM(13, 142) = 1846

GCD(13, 142) = ( 13 x 142 ) / 1846

GCD(13, 142) = 1846 / 1846

GCD(13, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 598, 819, 142, 846 is 1

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1. What is the GCD of 598, 819, 142, 846?

GCD of 598, 819, 142, 846 is 1

2. Where do I get the detailed procedure to find GCD of 598, 819, 142, 846?

You can find a detailed procedure to find GCD of 598, 819, 142, 846 on our page.

3. How to find GCD of 598, 819, 142, 846 on a calculator?

You can find the GCD of 598, 819, 142, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.