GCD of 456, 299, 467, 520 Calculator

Given Input numbers are 456, 299, 467, 520

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 299

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

1, 13, 23, 299

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 456, 299, 467, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 299, 467, 520 is 1.

Therefore, GCD of numbers 456, 299, 467, 520 is 1

Given Input Data is 456, 299, 467, 520

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 299 is 13 x 23

Prime Factorization of 467 is 467

Prime Factorization of 520 is 2 x 2 x 2 x 5 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(456, 299) = 136344

GCD(456, 299) = ( 456 x 299 ) / 136344

GCD(456, 299) = 136344 / 136344

GCD(456, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 456, 299, 467, 520 is 1

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1. What is the GCD of 456, 299, 467, 520?

GCD of 456, 299, 467, 520 is 1

2. Where do I get the detailed procedure to find GCD of 456, 299, 467, 520?

You can find a detailed procedure to find GCD of 456, 299, 467, 520 on our page.

3. How to find GCD of 456, 299, 467, 520 on a calculator?

You can find the GCD of 456, 299, 467, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.