GCD of 29, 852, 458, 873 Calculator

Given Input numbers are 29, 852, 458, 873

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

Divisors of 29

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

1, 29

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 29, 852, 458, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 852, 458, 873 is 1.

Therefore, GCD of numbers 29, 852, 458, 873 is 1

Given Input Data is 29, 852, 458, 873

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

Prime Factorization of 29 is 29

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 873 is 3 x 3 x 97

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(29, 852) = 24708

GCD(29, 852) = ( 29 x 852 ) / 24708

GCD(29, 852) = 24708 / 24708

GCD(29, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

GCD of 29, 852, 458, 873 is 1

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1. What is the GCD of 29, 852, 458, 873?

GCD of 29, 852, 458, 873 is 1

2. Where do I get the detailed procedure to find GCD of 29, 852, 458, 873?

You can find a detailed procedure to find GCD of 29, 852, 458, 873 on our page.

3. How to find GCD of 29, 852, 458, 873 on a calculator?

You can find the GCD of 29, 852, 458, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.