GCD of 872, 564, 305, 663 Calculator

Given Input numbers are 872, 564, 305, 663

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 872, 564, 305, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 564, 305, 663 is 1.

Therefore, GCD of numbers 872, 564, 305, 663 is 1

Given Input Data is 872, 564, 305, 663

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 305 is 5 x 61

Prime Factorization of 663 is 3 x 13 x 17

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(872, 564) = 122952

GCD(872, 564) = ( 872 x 564 ) / 122952

GCD(872, 564) = 491808 / 122952

GCD(872, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 305

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

LCM(4, 305) = 1220

GCD(4, 305) = ( 4 x 305 ) / 1220

GCD(4, 305) = 1220 / 1220

GCD(4, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 872, 564, 305, 663 is 1

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1. What is the GCD of 872, 564, 305, 663?

GCD of 872, 564, 305, 663 is 1

2. Where do I get the detailed procedure to find GCD of 872, 564, 305, 663?

You can find a detailed procedure to find GCD of 872, 564, 305, 663 on our page.

3. How to find GCD of 872, 564, 305, 663 on a calculator?

You can find the GCD of 872, 564, 305, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.