GCD of 409, 145, 466, 529 Calculator

Given Input numbers are 409, 145, 466, 529

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 409, 145, 466, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 145, 466, 529 is 1.

Therefore, GCD of numbers 409, 145, 466, 529 is 1

Given Input Data is 409, 145, 466, 529

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

Prime Factorization of 409 is 409

Prime Factorization of 145 is 5 x 29

Prime Factorization of 466 is 2 x 233

Prime Factorization of 529 is 23 x 23

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(409, 145) = 59305

GCD(409, 145) = ( 409 x 145 ) / 59305

GCD(409, 145) = 59305 / 59305

GCD(409, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 409, 145, 466, 529 is 1

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1. What is the GCD of 409, 145, 466, 529?

GCD of 409, 145, 466, 529 is 1

2. Where do I get the detailed procedure to find GCD of 409, 145, 466, 529?

You can find a detailed procedure to find GCD of 409, 145, 466, 529 on our page.

3. How to find GCD of 409, 145, 466, 529 on a calculator?

You can find the GCD of 409, 145, 466, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.