GCD of 864, 706, 300, 784 Calculator

Given Input numbers are 864, 706, 300, 784

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 864, 706, 300, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 706, 300, 784 is 2.

Therefore, GCD of numbers 864, 706, 300, 784 is 2

Given Input Data is 864, 706, 300, 784

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 706 is 2 x 353

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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, 706) = 304992

GCD(864, 706) = ( 864 x 706 ) / 304992

GCD(864, 706) = 609984 / 304992

GCD(864, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 864, 706, 300, 784 is 2

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1. What is the GCD of 864, 706, 300, 784?

GCD of 864, 706, 300, 784 is 2

2. Where do I get the detailed procedure to find GCD of 864, 706, 300, 784?

You can find a detailed procedure to find GCD of 864, 706, 300, 784 on our page.

3. How to find GCD of 864, 706, 300, 784 on a calculator?

You can find the GCD of 864, 706, 300, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.