GCD of 838, 288, 11, 598 Calculator

Given Input numbers are 838, 288, 11, 598

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 838, 288, 11, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 288, 11, 598 is 1.

Therefore, GCD of numbers 838, 288, 11, 598 is 1

Given Input Data is 838, 288, 11, 598

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 11 is 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(838, 288) = 120672

GCD(838, 288) = ( 838 x 288 ) / 120672

GCD(838, 288) = 241344 / 120672

GCD(838, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 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 838, 288, 11, 598 is 1

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• GCD of 369, 507, 14, 329
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1. What is the GCD of 838, 288, 11, 598?

GCD of 838, 288, 11, 598 is 1

2. Where do I get the detailed procedure to find GCD of 838, 288, 11, 598?

You can find a detailed procedure to find GCD of 838, 288, 11, 598 on our page.

3. How to find GCD of 838, 288, 11, 598 on a calculator?

You can find the GCD of 838, 288, 11, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.