GCD of 467, 516, 664, 567 Calculator

Given Input numbers are 467, 516, 664, 567

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

Divisors of 467

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

1, 467

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 467, 516, 664, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 516, 664, 567 is 1.

Therefore, GCD of numbers 467, 516, 664, 567 is 1

Given Input Data is 467, 516, 664, 567

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

Prime Factorization of 467 is 467

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(467, 516) = 240972

GCD(467, 516) = ( 467 x 516 ) / 240972

GCD(467, 516) = 240972 / 240972

GCD(467, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 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 467, 516, 664, 567 is 1

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1. What is the GCD of 467, 516, 664, 567?

GCD of 467, 516, 664, 567 is 1

2. Where do I get the detailed procedure to find GCD of 467, 516, 664, 567?

You can find a detailed procedure to find GCD of 467, 516, 664, 567 on our page.

3. How to find GCD of 467, 516, 664, 567 on a calculator?

You can find the GCD of 467, 516, 664, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.