GCD of 600, 276, 915, 326 Calculator

Given Input numbers are 600, 276, 915, 326

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 600, 276, 915, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 276, 915, 326 is 1.

Therefore, GCD of numbers 600, 276, 915, 326 is 1

Given Input Data is 600, 276, 915, 326

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 326 is 2 x 163

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(600, 276) = 13800

GCD(600, 276) = ( 600 x 276 ) / 13800

GCD(600, 276) = 165600 / 13800

GCD(600, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 915

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

LCM(12, 915) = 3660

GCD(12, 915) = ( 12 x 915 ) / 3660

GCD(12, 915) = 10980 / 3660

GCD(12, 915) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 326

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

LCM(3, 326) = 978

GCD(3, 326) = ( 3 x 326 ) / 978

GCD(3, 326) = 978 / 978

GCD(3, 326) = 1

GCD of 600, 276, 915, 326 is 1

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1. What is the GCD of 600, 276, 915, 326?

GCD of 600, 276, 915, 326 is 1

2. Where do I get the detailed procedure to find GCD of 600, 276, 915, 326?

You can find a detailed procedure to find GCD of 600, 276, 915, 326 on our page.

3. How to find GCD of 600, 276, 915, 326 on a calculator?

You can find the GCD of 600, 276, 915, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.