GCD of 322, 680, 600 Calculator

Given Input numbers are 322, 680, 600

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

Greatest Common Divisior

We found the divisors of 322, 680, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 680, 600 is 2.

Therefore, GCD of numbers 322, 680, 600 is 2

Given Input Data is 322, 680, 600

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(322, 680) = 109480

GCD(322, 680) = ( 322 x 680 ) / 109480

GCD(322, 680) = 218960 / 109480

GCD(322, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 322, 680, 600 is 2

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• GCD of 109, 816, 585
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1. What is the GCD of 322, 680, 600?

GCD of 322, 680, 600 is 2

2. Where do I get the detailed procedure to find GCD of 322, 680, 600?

You can find a detailed procedure to find GCD of 322, 680, 600 on our page.

3. How to find GCD of 322, 680, 600 on a calculator?

You can find the GCD of 322, 680, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.