GCD of 401, 290, 52, 824 Calculator

Given Input numbers are 401, 290, 52, 824

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 401, 290, 52, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 290, 52, 824 is 1.

Therefore, GCD of numbers 401, 290, 52, 824 is 1

Given Input Data is 401, 290, 52, 824

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

Prime Factorization of 401 is 401

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(401, 290) = 116290

GCD(401, 290) = ( 401 x 290 ) / 116290

GCD(401, 290) = 116290 / 116290

GCD(401, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 401, 290, 52, 824 is 1

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1. What is the GCD of 401, 290, 52, 824?

GCD of 401, 290, 52, 824 is 1

2. Where do I get the detailed procedure to find GCD of 401, 290, 52, 824?

You can find a detailed procedure to find GCD of 401, 290, 52, 824 on our page.

3. How to find GCD of 401, 290, 52, 824 on a calculator?

You can find the GCD of 401, 290, 52, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.