GCD of 864, 516, 274, 727 Calculator

Given Input numbers are 864, 516, 274, 727

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 864, 516, 274, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 516, 274, 727 is 1.

Therefore, GCD of numbers 864, 516, 274, 727 is 1

Given Input Data is 864, 516, 274, 727

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 516 is 2 x 2 x 3 x 43

Prime Factorization of 274 is 2 x 137

Prime Factorization of 727 is 727

The above numbers do not have any common prime factor. So GCD is 1

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, 516) = 37152

GCD(864, 516) = ( 864 x 516 ) / 37152

GCD(864, 516) = 445824 / 37152

GCD(864, 516) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 274

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

LCM(12, 274) = 1644

GCD(12, 274) = ( 12 x 274 ) / 1644

GCD(12, 274) = 3288 / 1644

GCD(12, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 727

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

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

GCD(2, 727) = 1454 / 1454

GCD(2, 727) = 1

GCD of 864, 516, 274, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 964, 321, 445
• GCD of 436, 594, 284, 366
• GCD of 537, 389, 598, 606
• GCD of 355, 913, 787, 789
• GCD of 965, 414, 844, 415

1. What is the GCD of 864, 516, 274, 727?

GCD of 864, 516, 274, 727 is 1

2. Where do I get the detailed procedure to find GCD of 864, 516, 274, 727?

You can find a detailed procedure to find GCD of 864, 516, 274, 727 on our page.

3. How to find GCD of 864, 516, 274, 727 on a calculator?

You can find the GCD of 864, 516, 274, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.