GCD of 716, 894, 306, 600 Calculator

Given Input numbers are 716, 894, 306, 600

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 716, 894, 306, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 894, 306, 600 is 2.

Therefore, GCD of numbers 716, 894, 306, 600 is 2

Given Input Data is 716, 894, 306, 600

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 306 is 2 x 3 x 3 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(716, 894) = 320052

GCD(716, 894) = ( 716 x 894 ) / 320052

GCD(716, 894) = 640104 / 320052

GCD(716, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 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 716, 894, 306, 600 is 2

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1. What is the GCD of 716, 894, 306, 600?

GCD of 716, 894, 306, 600 is 2

2. Where do I get the detailed procedure to find GCD of 716, 894, 306, 600?

You can find a detailed procedure to find GCD of 716, 894, 306, 600 on our page.

3. How to find GCD of 716, 894, 306, 600 on a calculator?

You can find the GCD of 716, 894, 306, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.