GCD of 364, 605, 51, 409 Calculator

Given Input numbers are 364, 605, 51, 409

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 51

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

1, 3, 17, 51

Divisors of 409

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

1, 409

Greatest Common Divisior

We found the divisors of 364, 605, 51, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 605, 51, 409 is 1.

Therefore, GCD of numbers 364, 605, 51, 409 is 1

Given Input Data is 364, 605, 51, 409

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 409 is 409

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(364, 605) = 220220

GCD(364, 605) = ( 364 x 605 ) / 220220

GCD(364, 605) = 220220 / 220220

GCD(364, 605) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 364, 605, 51, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 820, 32, 887
• GCD of 371, 963, 62, 199
• GCD of 947, 513, 79, 505
• GCD of 309, 375, 99, 433
• GCD of 434, 401, 49, 609

1. What is the GCD of 364, 605, 51, 409?

GCD of 364, 605, 51, 409 is 1

2. Where do I get the detailed procedure to find GCD of 364, 605, 51, 409?

You can find a detailed procedure to find GCD of 364, 605, 51, 409 on our page.

3. How to find GCD of 364, 605, 51, 409 on a calculator?

You can find the GCD of 364, 605, 51, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.