GCD of 882, 261, 364, 814 Calculator

Given Input numbers are 882, 261, 364, 814

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

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 882, 261, 364, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 261, 364, 814 is 1.

Therefore, GCD of numbers 882, 261, 364, 814 is 1

Given Input Data is 882, 261, 364, 814

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

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 814 is 2 x 11 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(882, 261) = 25578

GCD(882, 261) = ( 882 x 261 ) / 25578

GCD(882, 261) = 230202 / 25578

GCD(882, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 364

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

LCM(9, 364) = 3276

GCD(9, 364) = ( 9 x 364 ) / 3276

GCD(9, 364) = 3276 / 3276

GCD(9, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 882, 261, 364, 814 is 1

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1. What is the GCD of 882, 261, 364, 814?

GCD of 882, 261, 364, 814 is 1

2. Where do I get the detailed procedure to find GCD of 882, 261, 364, 814?

You can find a detailed procedure to find GCD of 882, 261, 364, 814 on our page.

3. How to find GCD of 882, 261, 364, 814 on a calculator?

You can find the GCD of 882, 261, 364, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.