GCD of 424, 234, 51, 365 Calculator

Given Input numbers are 424, 234, 51, 365

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 424, 234, 51, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 234, 51, 365 is 1.

Therefore, GCD of numbers 424, 234, 51, 365 is 1

Given Input Data is 424, 234, 51, 365

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 365 is 5 x 73

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(424, 234) = 49608

GCD(424, 234) = ( 424 x 234 ) / 49608

GCD(424, 234) = 99216 / 49608

GCD(424, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 424, 234, 51, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 289, 76, 585
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• GCD of 966, 638, 29, 835

1. What is the GCD of 424, 234, 51, 365?

GCD of 424, 234, 51, 365 is 1

2. Where do I get the detailed procedure to find GCD of 424, 234, 51, 365?

You can find a detailed procedure to find GCD of 424, 234, 51, 365 on our page.

3. How to find GCD of 424, 234, 51, 365 on a calculator?

You can find the GCD of 424, 234, 51, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.