GCD of 598, 744, 22, 249 Calculator

Given Input numbers are 598, 744, 22, 249

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 598, 744, 22, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 744, 22, 249 is 1.

Therefore, GCD of numbers 598, 744, 22, 249 is 1

Given Input Data is 598, 744, 22, 249

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 22 is 2 x 11

Prime Factorization of 249 is 3 x 83

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, 744) = 222456

GCD(598, 744) = ( 598 x 744 ) / 222456

GCD(598, 744) = 444912 / 222456

GCD(598, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

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

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

GCD of 598, 744, 22, 249 is 1

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1. What is the GCD of 598, 744, 22, 249?

GCD of 598, 744, 22, 249 is 1

2. Where do I get the detailed procedure to find GCD of 598, 744, 22, 249?

You can find a detailed procedure to find GCD of 598, 744, 22, 249 on our page.

3. How to find GCD of 598, 744, 22, 249 on a calculator?

You can find the GCD of 598, 744, 22, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.