GCD of 864, 630, 16, 600 Calculator

Given Input numbers are 864, 630, 16, 600

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

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 864, 630, 16, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 630, 16, 600 is 2.

Therefore, GCD of numbers 864, 630, 16, 600 is 2

Given Input Data is 864, 630, 16, 600

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

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(864, 630) = 30240

GCD(864, 630) = ( 864 x 630 ) / 30240

GCD(864, 630) = 544320 / 30240

GCD(864, 630) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 16

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

LCM(18, 16) = 144

GCD(18, 16) = ( 18 x 16 ) / 144

GCD(18, 16) = 288 / 144

GCD(18, 16) = 2

Step3:

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 864, 630, 16, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 367, 36, 532
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• GCD of 319, 661, 17, 618
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• GCD of 310, 372, 68, 494

1. What is the GCD of 864, 630, 16, 600?

GCD of 864, 630, 16, 600 is 2

2. Where do I get the detailed procedure to find GCD of 864, 630, 16, 600?

You can find a detailed procedure to find GCD of 864, 630, 16, 600 on our page.

3. How to find GCD of 864, 630, 16, 600 on a calculator?

You can find the GCD of 864, 630, 16, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.