Where do I get the detailed procedure to find GCD of 918, 846, 852?

You can find a detailed procedure to find GCD of 918, 846, 852 on our page.

How to find GCD of 918, 846, 852 on a calculator?

You can find the GCD of 918, 846, 852 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 918, 846, 852 Calculator

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

Online GCD Calculator is useful to find the GCD of 918, 846, 852 quickly. Get the easiest ways to solve the greatest common divisor of 918, 846, 852 i.e 6 in different methods as follows.

How to Find GCD of Numbers 918, 846, 852 with Factoring?

Given Input numbers are 918, 846, 852

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

GCD of numbers is the greatest common divisor

So, the GCD (918, 846, 852) = 6.

Find GCD of 918, 846, 852 using Prime Factorization

Given numbers are 918, 846, 852

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 846 are 2 x 3 x 3 x 47

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 918, 846, 852 is 6.

Steps to Calculate GCD of 918, 846, 852 using LCM Formula

Given numbers are 918, 846, 852

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

Apply this formula for all numbers.

Step1:

LCM(918, 846) = 43146

GCD(918, 846) = ( 918 x 846 ) / 43146

= 918 / 846

= 918

Step2:

LCM(18, 852) = 2556

GCD(18, 852) = ( 18 x 852 ) / 2556

= 18 / 852

= 18

So, Greatest Common Divisor of 918, 846, 852 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 918, 846, 852

Given numbers are 918, 846, 852
The greatest common divisor of numbers 918, 846, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 846, 852 is 6.

FAQs on GCD of 918, 846, 852 Calculator

1. What is the GCD of 918, 846, 852?

GCD of given numbers 918, 846, 852 is 6

2. How to calculate the greatest common divisor of 918, 846, 852?

We can find the highest common divisor of 918, 846, 852 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 918, 846, 852 i.e 6.

3. How can I use the GCD of 918, 846, 852Calculator?

Out the numbers 918, 846, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.