GCD of 882, 412, 41, 509 Calculator

Given Input numbers are 882, 412, 41, 509

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 882, 412, 41, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 412, 41, 509 is 1.

Therefore, GCD of numbers 882, 412, 41, 509 is 1

Given Input Data is 882, 412, 41, 509

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 412 is 2 x 2 x 103

Prime Factorization of 41 is 41

Prime Factorization of 509 is 509

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, 412) = 181692

GCD(882, 412) = ( 882 x 412 ) / 181692

GCD(882, 412) = 363384 / 181692

GCD(882, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 882, 412, 41, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 481, 79, 808
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• GCD of 162, 314, 17, 240
• GCD of 386, 345, 92, 128
• GCD of 530, 426, 40, 523

1. What is the GCD of 882, 412, 41, 509?

GCD of 882, 412, 41, 509 is 1

2. Where do I get the detailed procedure to find GCD of 882, 412, 41, 509?

You can find a detailed procedure to find GCD of 882, 412, 41, 509 on our page.

3. How to find GCD of 882, 412, 41, 509 on a calculator?

You can find the GCD of 882, 412, 41, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.