GCD of 456, 255, 13, 661 Calculator

Given Input numbers are 456, 255, 13, 661

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 456, 255, 13, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 255, 13, 661 is 1.

Therefore, GCD of numbers 456, 255, 13, 661 is 1

Given Input Data is 456, 255, 13, 661

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 13 is 13

Prime Factorization of 661 is 661

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(456, 255) = 38760

GCD(456, 255) = ( 456 x 255 ) / 38760

GCD(456, 255) = 116280 / 38760

GCD(456, 255) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 456, 255, 13, 661 is 1

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• GCD of 303, 667, 49, 251
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• GCD of 668, 757, 70, 724

1. What is the GCD of 456, 255, 13, 661?

GCD of 456, 255, 13, 661 is 1

2. Where do I get the detailed procedure to find GCD of 456, 255, 13, 661?

You can find a detailed procedure to find GCD of 456, 255, 13, 661 on our page.

3. How to find GCD of 456, 255, 13, 661 on a calculator?

You can find the GCD of 456, 255, 13, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.