Where do I get the detailed procedure to find GCD of 360, 564, 906?

You can find a detailed procedure to find GCD of 360, 564, 906 on our page.

How to find GCD of 360, 564, 906 on a calculator?

You can find the GCD of 360, 564, 906 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 360, 564, 906 Calculator

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

Online GCD Calculator is useful to find the GCD of 360, 564, 906 quickly. Get the easiest ways to solve the greatest common divisor of 360, 564, 906 i.e 6 in different methods as follows.

How to Find GCD of Numbers 360, 564, 906 with Factoring?

Given Input numbers are 360, 564, 906

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (360, 564, 906) = 6.

Find GCD of 360, 564, 906 using Prime Factorization

Given numbers are 360, 564, 906

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 360, 564, 906 is 6.

Steps to Calculate GCD of 360, 564, 906 using LCM Formula

Given numbers are 360, 564, 906

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

Apply this formula for all numbers.

Step1:

LCM(360, 564) = 16920

GCD(360, 564) = ( 360 x 564 ) / 16920

= 360 / 564

= 360

Step2:

LCM(12, 906) = 1812

GCD(12, 906) = ( 12 x 906 ) / 1812

= 12 / 906

= 12

So, Greatest Common Divisor of 360, 564, 906 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 360, 564, 906

Given numbers are 360, 564, 906
The greatest common divisor of numbers 360, 564, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 564, 906 is 6.

FAQs on GCD of 360, 564, 906 Calculator

1. What is the GCD of 360, 564, 906?

GCD of given numbers 360, 564, 906 is 6

2. How to calculate the greatest common divisor of 360, 564, 906?

We can find the highest common divisor of 360, 564, 906 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 360, 564, 906 i.e 6.

3. How can I use the GCD of 360, 564, 906Calculator?

Out the numbers 360, 564, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.