Where do I get the detailed procedure to find GCD of 855, 150, 570?

You can find a detailed procedure to find GCD of 855, 150, 570 on our page.

How to find GCD of 855, 150, 570 on a calculator?

You can find the GCD of 855, 150, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 855, 150, 570 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 855, 150, 570 quickly. Get the easiest ways to solve the greatest common divisor of 855, 150, 570 i.e 15 in different methods as follows.

How to Find GCD of Numbers 855, 150, 570 with Factoring?

Given Input numbers are 855, 150, 570

In the factoring method, we have to find the divisors of all numbers

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

GCD of numbers is the greatest common divisor

So, the GCD (855, 150, 570) = 15.

Find GCD of 855, 150, 570 using Prime Factorization

Given numbers are 855, 150, 570

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 570 are 2 x 3 x 5 x 19

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 855, 150, 570 is 15.

Steps to Calculate GCD of 855, 150, 570 using LCM Formula

Given numbers are 855, 150, 570

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(855, 150) = 8550

GCD(855, 150) = ( 855 x 150 ) / 8550

= 855 / 150

= 855

Step2:

LCM(15, 570) = 570

GCD(15, 570) = ( 15 x 570 ) / 570

= 15 / 570

= 15

So, Greatest Common Divisor of 855, 150, 570 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 855, 150, 570

Given numbers are 855, 150, 570
The greatest common divisor of numbers 855, 150, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 150, 570 is 15.

FAQs on GCD of 855, 150, 570 Calculator

1. What is the GCD of 855, 150, 570?

GCD of given numbers 855, 150, 570 is 15

2. How to calculate the greatest common divisor of 855, 150, 570?

We can find the highest common divisor of 855, 150, 570 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 855, 150, 570 i.e 15.

3. How can I use the GCD of 855, 150, 570Calculator?

Out the numbers 855, 150, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.