GCD of 732, 808, 83, 189 Calculator

Given Input numbers are 732, 808, 83, 189

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 732, 808, 83, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 808, 83, 189 is 1.

Therefore, GCD of numbers 732, 808, 83, 189 is 1

Given Input Data is 732, 808, 83, 189

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 83 is 83

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(732, 808) = 147864

GCD(732, 808) = ( 732 x 808 ) / 147864

GCD(732, 808) = 591456 / 147864

GCD(732, 808) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 83

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

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

GCD(4, 83) = 332 / 332

GCD(4, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 732, 808, 83, 189 is 1

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• GCD of 186, 791, 89, 934
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1. What is the GCD of 732, 808, 83, 189?

GCD of 732, 808, 83, 189 is 1

2. Where do I get the detailed procedure to find GCD of 732, 808, 83, 189?

You can find a detailed procedure to find GCD of 732, 808, 83, 189 on our page.

3. How to find GCD of 732, 808, 83, 189 on a calculator?

You can find the GCD of 732, 808, 83, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.