GCD of 594, 270, 17, 748 Calculator

Given Input numbers are 594, 270, 17, 748

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 594, 270, 17, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 270, 17, 748 is 1.

Therefore, GCD of numbers 594, 270, 17, 748 is 1

Given Input Data is 594, 270, 17, 748

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 17 is 17

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(594, 270) = 2970

GCD(594, 270) = ( 594 x 270 ) / 2970

GCD(594, 270) = 160380 / 2970

GCD(594, 270) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 17

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

LCM(54, 17) = 918

GCD(54, 17) = ( 54 x 17 ) / 918

GCD(54, 17) = 918 / 918

GCD(54, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 594, 270, 17, 748 is 1

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1. What is the GCD of 594, 270, 17, 748?

GCD of 594, 270, 17, 748 is 1

2. Where do I get the detailed procedure to find GCD of 594, 270, 17, 748?

You can find a detailed procedure to find GCD of 594, 270, 17, 748 on our page.

3. How to find GCD of 594, 270, 17, 748 on a calculator?

You can find the GCD of 594, 270, 17, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.