GCD of 918, 525, 23, 330 Calculator

Given Input numbers are 918, 525, 23, 330

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 918, 525, 23, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 525, 23, 330 is 1.

Therefore, GCD of numbers 918, 525, 23, 330 is 1

Given Input Data is 918, 525, 23, 330

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 23 is 23

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(918, 525) = 160650

GCD(918, 525) = ( 918 x 525 ) / 160650

GCD(918, 525) = 481950 / 160650

GCD(918, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 918, 525, 23, 330 is 1

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1. What is the GCD of 918, 525, 23, 330?

GCD of 918, 525, 23, 330 is 1

2. Where do I get the detailed procedure to find GCD of 918, 525, 23, 330?

You can find a detailed procedure to find GCD of 918, 525, 23, 330 on our page.

3. How to find GCD of 918, 525, 23, 330 on a calculator?

You can find the GCD of 918, 525, 23, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.