GCD of 255, 409, 65, 429 Calculator

Given Input numbers are 255, 409, 65, 429

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 409

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

1, 409

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 255, 409, 65, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 409, 65, 429 is 1.

Therefore, GCD of numbers 255, 409, 65, 429 is 1

Given Input Data is 255, 409, 65, 429

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 409 is 409

Prime Factorization of 65 is 5 x 13

Prime Factorization of 429 is 3 x 11 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(255, 409) = 104295

GCD(255, 409) = ( 255 x 409 ) / 104295

GCD(255, 409) = 104295 / 104295

GCD(255, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 255, 409, 65, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 905, 13, 718
• GCD of 856, 614, 39, 671
• GCD of 556, 775, 24, 648
• GCD of 546, 987, 18, 882
• GCD of 233, 969, 65, 220

1. What is the GCD of 255, 409, 65, 429?

GCD of 255, 409, 65, 429 is 1

2. Where do I get the detailed procedure to find GCD of 255, 409, 65, 429?

You can find a detailed procedure to find GCD of 255, 409, 65, 429 on our page.

3. How to find GCD of 255, 409, 65, 429 on a calculator?

You can find the GCD of 255, 409, 65, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.