GCD of 575, 552, 855 Calculator

Given Input numbers are 575, 552, 855

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

Greatest Common Divisior

We found the divisors of 575, 552, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 552, 855 is 1.

Therefore, GCD of numbers 575, 552, 855 is 1

Given Input Data is 575, 552, 855

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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

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(575, 552) = 13800

GCD(575, 552) = ( 575 x 552 ) / 13800

GCD(575, 552) = 317400 / 13800

GCD(575, 552) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 855

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

LCM(23, 855) = 19665

GCD(23, 855) = ( 23 x 855 ) / 19665

GCD(23, 855) = 19665 / 19665

GCD(23, 855) = 1

GCD of 575, 552, 855 is 1

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1. What is the GCD of 575, 552, 855?

GCD of 575, 552, 855 is 1

2. Where do I get the detailed procedure to find GCD of 575, 552, 855?

You can find a detailed procedure to find GCD of 575, 552, 855 on our page.

3. How to find GCD of 575, 552, 855 on a calculator?

You can find the GCD of 575, 552, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.