GCD of 339, 523, 732, 106 Calculator

Given Input numbers are 339, 523, 732, 106

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 339, 523, 732, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 523, 732, 106 is 1.

Therefore, GCD of numbers 339, 523, 732, 106 is 1

Given Input Data is 339, 523, 732, 106

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 523 is 523

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

Prime Factorization of 106 is 2 x 53

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(339, 523) = 177297

GCD(339, 523) = ( 339 x 523 ) / 177297

GCD(339, 523) = 177297 / 177297

GCD(339, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 339, 523, 732, 106 is 1

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1. What is the GCD of 339, 523, 732, 106?

GCD of 339, 523, 732, 106 is 1

2. Where do I get the detailed procedure to find GCD of 339, 523, 732, 106?

You can find a detailed procedure to find GCD of 339, 523, 732, 106 on our page.

3. How to find GCD of 339, 523, 732, 106 on a calculator?

You can find the GCD of 339, 523, 732, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.