GCD of 991, 825, 222 Calculator

Given Input numbers are 991, 825, 222

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 991, 825, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 825, 222 is 1.

Therefore, GCD of numbers 991, 825, 222 is 1

Given Input Data is 991, 825, 222

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

Prime Factorization of 991 is 991

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(991, 825) = 817575

GCD(991, 825) = ( 991 x 825 ) / 817575

GCD(991, 825) = 817575 / 817575

GCD(991, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 991, 825, 222 is 1

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1. What is the GCD of 991, 825, 222?

GCD of 991, 825, 222 is 1

2. Where do I get the detailed procedure to find GCD of 991, 825, 222?

You can find a detailed procedure to find GCD of 991, 825, 222 on our page.

3. How to find GCD of 991, 825, 222 on a calculator?

You can find the GCD of 991, 825, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.