GCD of 115, 462, 721, 567 Calculator

Given Input numbers are 115, 462, 721, 567

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 115, 462, 721, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 462, 721, 567 is 1.

Therefore, GCD of numbers 115, 462, 721, 567 is 1

Given Input Data is 115, 462, 721, 567

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 721 is 7 x 103

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(115, 462) = 53130

GCD(115, 462) = ( 115 x 462 ) / 53130

GCD(115, 462) = 53130 / 53130

GCD(115, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 115, 462, 721, 567 is 1

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1. What is the GCD of 115, 462, 721, 567?

GCD of 115, 462, 721, 567 is 1

2. Where do I get the detailed procedure to find GCD of 115, 462, 721, 567?

You can find a detailed procedure to find GCD of 115, 462, 721, 567 on our page.

3. How to find GCD of 115, 462, 721, 567 on a calculator?

You can find the GCD of 115, 462, 721, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.