GCD of 328, 600, 87 Calculator

Given Input numbers are 328, 600, 87

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 328, 600, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 600, 87 is 1.

Therefore, GCD of numbers 328, 600, 87 is 1

Given Input Data is 328, 600, 87

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Prime Factorization of 87 is 3 x 29

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(328, 600) = 24600

GCD(328, 600) = ( 328 x 600 ) / 24600

GCD(328, 600) = 196800 / 24600

GCD(328, 600) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 87

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

LCM(8, 87) = 696

GCD(8, 87) = ( 8 x 87 ) / 696

GCD(8, 87) = 696 / 696

GCD(8, 87) = 1

GCD of 328, 600, 87 is 1

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• GCD of 869, 825, 33
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1. What is the GCD of 328, 600, 87?

GCD of 328, 600, 87 is 1

2. Where do I get the detailed procedure to find GCD of 328, 600, 87?

You can find a detailed procedure to find GCD of 328, 600, 87 on our page.

3. How to find GCD of 328, 600, 87 on a calculator?

You can find the GCD of 328, 600, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.