GCD of 505, 299, 61, 255 Calculator

Given Input numbers are 505, 299, 61, 255

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 255

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

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

Greatest Common Divisior

We found the divisors of 505, 299, 61, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 299, 61, 255 is 1.

Therefore, GCD of numbers 505, 299, 61, 255 is 1

Given Input Data is 505, 299, 61, 255

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 299 is 13 x 23

Prime Factorization of 61 is 61

Prime Factorization of 255 is 3 x 5 x 17

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(505, 299) = 150995

GCD(505, 299) = ( 505 x 299 ) / 150995

GCD(505, 299) = 150995 / 150995

GCD(505, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 505, 299, 61, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 832, 78, 111
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• GCD of 633, 124, 53, 255
• GCD of 270, 484, 84, 109
• GCD of 387, 207, 54, 545

1. What is the GCD of 505, 299, 61, 255?

GCD of 505, 299, 61, 255 is 1

2. Where do I get the detailed procedure to find GCD of 505, 299, 61, 255?

You can find a detailed procedure to find GCD of 505, 299, 61, 255 on our page.

3. How to find GCD of 505, 299, 61, 255 on a calculator?

You can find the GCD of 505, 299, 61, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.