GCD of 738, 822, 29, 183 Calculator

Given Input numbers are 738, 822, 29, 183

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 738, 822, 29, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 822, 29, 183 is 1.

Therefore, GCD of numbers 738, 822, 29, 183 is 1

Given Input Data is 738, 822, 29, 183

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 29 is 29

Prime Factorization of 183 is 3 x 61

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(738, 822) = 101106

GCD(738, 822) = ( 738 x 822 ) / 101106

GCD(738, 822) = 606636 / 101106

GCD(738, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 29

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

LCM(6, 29) = 174

GCD(6, 29) = ( 6 x 29 ) / 174

GCD(6, 29) = 174 / 174

GCD(6, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 183

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

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

GCD(1, 183) = 183 / 183

GCD(1, 183) = 1

GCD of 738, 822, 29, 183 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 950, 45, 237
• GCD of 500, 445, 59, 600
• GCD of 806, 821, 81, 991
• GCD of 667, 859, 49, 215
• GCD of 720, 688, 28, 855

1. What is the GCD of 738, 822, 29, 183?

GCD of 738, 822, 29, 183 is 1

2. Where do I get the detailed procedure to find GCD of 738, 822, 29, 183?

You can find a detailed procedure to find GCD of 738, 822, 29, 183 on our page.

3. How to find GCD of 738, 822, 29, 183 on a calculator?

You can find the GCD of 738, 822, 29, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.