GCD of 822, 755, 18, 144 Calculator

Given Input numbers are 822, 755, 18, 144

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 822, 755, 18, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 755, 18, 144 is 1.

Therefore, GCD of numbers 822, 755, 18, 144 is 1

Given Input Data is 822, 755, 18, 144

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 755 is 5 x 151

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 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(822, 755) = 620610

GCD(822, 755) = ( 822 x 755 ) / 620610

GCD(822, 755) = 620610 / 620610

GCD(822, 755) = 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 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 822, 755, 18, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 344, 48, 288
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• GCD of 984, 497, 50, 935

1. What is the GCD of 822, 755, 18, 144?

GCD of 822, 755, 18, 144 is 1

2. Where do I get the detailed procedure to find GCD of 822, 755, 18, 144?

You can find a detailed procedure to find GCD of 822, 755, 18, 144 on our page.

3. How to find GCD of 822, 755, 18, 144 on a calculator?

You can find the GCD of 822, 755, 18, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.