GCD of 459, 966, 387, 573 Calculator

Given Input numbers are 459, 966, 387, 573

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 459, 966, 387, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 966, 387, 573 is 3.

Therefore, GCD of numbers 459, 966, 387, 573 is 3

Given Input Data is 459, 966, 387, 573

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 573 is 3 x 191

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(459, 966) = 147798

GCD(459, 966) = ( 459 x 966 ) / 147798

GCD(459, 966) = 443394 / 147798

GCD(459, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 573

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

LCM(3, 573) = 573

GCD(3, 573) = ( 3 x 573 ) / 573

GCD(3, 573) = 1719 / 573

GCD(3, 573) = 3

GCD of 459, 966, 387, 573 is 3

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1. What is the GCD of 459, 966, 387, 573?

GCD of 459, 966, 387, 573 is 3

2. Where do I get the detailed procedure to find GCD of 459, 966, 387, 573?

You can find a detailed procedure to find GCD of 459, 966, 387, 573 on our page.

3. How to find GCD of 459, 966, 387, 573 on a calculator?

You can find the GCD of 459, 966, 387, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.