GCD of 401, 610, 309, 234 Calculator

Given Input numbers are 401, 610, 309, 234

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 401, 610, 309, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 610, 309, 234 is 1.

Therefore, GCD of numbers 401, 610, 309, 234 is 1

Given Input Data is 401, 610, 309, 234

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

Prime Factorization of 401 is 401

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 309 is 3 x 103

Prime Factorization of 234 is 2 x 3 x 3 x 13

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, 610) = 244610

GCD(401, 610) = ( 401 x 610 ) / 244610

GCD(401, 610) = 244610 / 244610

GCD(401, 610) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 401, 610, 309, 234 is 1

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1. What is the GCD of 401, 610, 309, 234?

GCD of 401, 610, 309, 234 is 1

2. Where do I get the detailed procedure to find GCD of 401, 610, 309, 234?

You can find a detailed procedure to find GCD of 401, 610, 309, 234 on our page.

3. How to find GCD of 401, 610, 309, 234 on a calculator?

You can find the GCD of 401, 610, 309, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.