GCD of 329, 852, 415, 924 Calculator

Given Input numbers are 329, 852, 415, 924

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 329, 852, 415, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 852, 415, 924 is 1.

Therefore, GCD of numbers 329, 852, 415, 924 is 1

Given Input Data is 329, 852, 415, 924

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 415 is 5 x 83

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(329, 852) = 280308

GCD(329, 852) = ( 329 x 852 ) / 280308

GCD(329, 852) = 280308 / 280308

GCD(329, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 329, 852, 415, 924 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 329, 852, 415, 924?

GCD of 329, 852, 415, 924 is 1

2. Where do I get the detailed procedure to find GCD of 329, 852, 415, 924?

You can find a detailed procedure to find GCD of 329, 852, 415, 924 on our page.

3. How to find GCD of 329, 852, 415, 924 on a calculator?

You can find the GCD of 329, 852, 415, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.