GCD of 725, 215, 222 Calculator

Given Input numbers are 725, 215, 222

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 725, 215, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 215, 222 is 1.

Therefore, GCD of numbers 725, 215, 222 is 1

Given Input Data is 725, 215, 222

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 215 is 5 x 43

Prime Factorization of 222 is 2 x 3 x 37

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(725, 215) = 31175

GCD(725, 215) = ( 725 x 215 ) / 31175

GCD(725, 215) = 155875 / 31175

GCD(725, 215) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 222

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

LCM(5, 222) = 1110

GCD(5, 222) = ( 5 x 222 ) / 1110

GCD(5, 222) = 1110 / 1110

GCD(5, 222) = 1

GCD of 725, 215, 222 is 1

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1. What is the GCD of 725, 215, 222?

GCD of 725, 215, 222 is 1

2. Where do I get the detailed procedure to find GCD of 725, 215, 222?

You can find a detailed procedure to find GCD of 725, 215, 222 on our page.

3. How to find GCD of 725, 215, 222 on a calculator?

You can find the GCD of 725, 215, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.