GCD of 222, 882, 692, 591 Calculator

Given Input numbers are 222, 882, 692, 591

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

Divisors of 222

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

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 222, 882, 692, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 882, 692, 591 is 1.

Therefore, GCD of numbers 222, 882, 692, 591 is 1

Given Input Data is 222, 882, 692, 591

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 591 is 3 x 197

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(222, 882) = 32634

GCD(222, 882) = ( 222 x 882 ) / 32634

GCD(222, 882) = 195804 / 32634

GCD(222, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 692

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

LCM(6, 692) = 2076

GCD(6, 692) = ( 6 x 692 ) / 2076

GCD(6, 692) = 4152 / 2076

GCD(6, 692) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

GCD of 222, 882, 692, 591 is 1

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1. What is the GCD of 222, 882, 692, 591?

GCD of 222, 882, 692, 591 is 1

2. Where do I get the detailed procedure to find GCD of 222, 882, 692, 591?

You can find a detailed procedure to find GCD of 222, 882, 692, 591 on our page.

3. How to find GCD of 222, 882, 692, 591 on a calculator?

You can find the GCD of 222, 882, 692, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.