GCD of 855, 528, 618, 563 Calculator

Given Input numbers are 855, 528, 618, 563

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 855, 528, 618, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 528, 618, 563 is 1.

Therefore, GCD of numbers 855, 528, 618, 563 is 1

Given Input Data is 855, 528, 618, 563

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 563 is 563

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(855, 528) = 150480

GCD(855, 528) = ( 855 x 528 ) / 150480

GCD(855, 528) = 451440 / 150480

GCD(855, 528) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 618

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

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

GCD(3, 618) = 1854 / 618

GCD(3, 618) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 563

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

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

GCD(3, 563) = 1689 / 1689

GCD(3, 563) = 1

GCD of 855, 528, 618, 563 is 1

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1. What is the GCD of 855, 528, 618, 563?

GCD of 855, 528, 618, 563 is 1

2. Where do I get the detailed procedure to find GCD of 855, 528, 618, 563?

You can find a detailed procedure to find GCD of 855, 528, 618, 563 on our page.

3. How to find GCD of 855, 528, 618, 563 on a calculator?

You can find the GCD of 855, 528, 618, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.