Where do I get the detailed procedure to find GCD of 852, 360, 826?

You can find a detailed procedure to find GCD of 852, 360, 826 on our page.

How to find GCD of 852, 360, 826 on a calculator?

You can find the GCD of 852, 360, 826 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 852, 360, 826 Calculator

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

Online GCD Calculator is useful to find the GCD of 852, 360, 826 quickly. Get the easiest ways to solve the greatest common divisor of 852, 360, 826 i.e 2 in different methods as follows.

How to Find GCD of Numbers 852, 360, 826 with Factoring?

Given Input numbers are 852, 360, 826

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (852, 360, 826) = 2.

Find GCD of 852, 360, 826 using Prime Factorization

Given numbers are 852, 360, 826

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

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

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 852, 360, 826 is 2.

Steps to Calculate GCD of 852, 360, 826 using LCM Formula

Given numbers are 852, 360, 826

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

Apply this formula for all numbers.

Step1:

LCM(852, 360) = 25560

GCD(852, 360) = ( 852 x 360 ) / 25560

= 852 / 360

= 852

Step2:

LCM(12, 826) = 4956

GCD(12, 826) = ( 12 x 826 ) / 4956

= 12 / 826

= 12

So, Greatest Common Divisor of 852, 360, 826 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 852, 360, 826

Given numbers are 852, 360, 826
The greatest common divisor of numbers 852, 360, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 360, 826 is 2.

FAQs on GCD of 852, 360, 826 Calculator

1. What is the GCD of 852, 360, 826?

GCD of given numbers 852, 360, 826 is 2

2. How to calculate the greatest common divisor of 852, 360, 826?

We can find the highest common divisor of 852, 360, 826 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 852, 360, 826 i.e 2.

3. How can I use the GCD of 852, 360, 826Calculator?

Out the numbers 852, 360, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.