GCD of 826, 629, 18, 162 Calculator

Given Input numbers are 826, 629, 18, 162

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 826, 629, 18, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 629, 18, 162 is 1.

Therefore, GCD of numbers 826, 629, 18, 162 is 1

Given Input Data is 826, 629, 18, 162

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 629 is 17 x 37

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(826, 629) = 519554

GCD(826, 629) = ( 826 x 629 ) / 519554

GCD(826, 629) = 519554 / 519554

GCD(826, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 826, 629, 18, 162 is 1

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1. What is the GCD of 826, 629, 18, 162?

GCD of 826, 629, 18, 162 is 1

2. Where do I get the detailed procedure to find GCD of 826, 629, 18, 162?

You can find a detailed procedure to find GCD of 826, 629, 18, 162 on our page.

3. How to find GCD of 826, 629, 18, 162 on a calculator?

You can find the GCD of 826, 629, 18, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.