GCD of 867, 636, 898, 882 Calculator

Given Input numbers are 867, 636, 898, 882

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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

Greatest Common Divisior

We found the divisors of 867, 636, 898, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 636, 898, 882 is 1.

Therefore, GCD of numbers 867, 636, 898, 882 is 1

Given Input Data is 867, 636, 898, 882

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 898 is 2 x 449

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

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(867, 636) = 183804

GCD(867, 636) = ( 867 x 636 ) / 183804

GCD(867, 636) = 551412 / 183804

GCD(867, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 867, 636, 898, 882 is 1

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1. What is the GCD of 867, 636, 898, 882?

GCD of 867, 636, 898, 882 is 1

2. Where do I get the detailed procedure to find GCD of 867, 636, 898, 882?

You can find a detailed procedure to find GCD of 867, 636, 898, 882 on our page.

3. How to find GCD of 867, 636, 898, 882 on a calculator?

You can find the GCD of 867, 636, 898, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.