GCD of 600, 314, 864, 720 Calculator

Given Input numbers are 600, 314, 864, 720

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 600, 314, 864, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 314, 864, 720 is 2.

Therefore, GCD of numbers 600, 314, 864, 720 is 2

Given Input Data is 600, 314, 864, 720

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 314 is 2 x 157

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 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(600, 314) = 94200

GCD(600, 314) = ( 600 x 314 ) / 94200

GCD(600, 314) = 188400 / 94200

GCD(600, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 600, 314, 864, 720 is 2

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1. What is the GCD of 600, 314, 864, 720?

GCD of 600, 314, 864, 720 is 2

2. Where do I get the detailed procedure to find GCD of 600, 314, 864, 720?

You can find a detailed procedure to find GCD of 600, 314, 864, 720 on our page.

3. How to find GCD of 600, 314, 864, 720 on a calculator?

You can find the GCD of 600, 314, 864, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.