GCD of 216, 725, 312 Calculator

Given Input numbers are 216, 725, 312

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 216, 725, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 725, 312 is 1.

Therefore, GCD of numbers 216, 725, 312 is 1

Given Input Data is 216, 725, 312

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(216, 725) = 156600

GCD(216, 725) = ( 216 x 725 ) / 156600

GCD(216, 725) = 156600 / 156600

GCD(216, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 216, 725, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 151, 559
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• GCD of 365, 504, 581
• GCD of 758, 833, 661
• GCD of 491, 837, 141

1. What is the GCD of 216, 725, 312?

GCD of 216, 725, 312 is 1

2. Where do I get the detailed procedure to find GCD of 216, 725, 312?

You can find a detailed procedure to find GCD of 216, 725, 312 on our page.

3. How to find GCD of 216, 725, 312 on a calculator?

You can find the GCD of 216, 725, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.