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GCD of 918, 588, 500, 324 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, 588, 500, 324 quickly. Get the easiest ways to solve the greatest common divisor of 918, 588, 500, 324 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 588, 500, 324 with Factoring?

Given Input numbers are 918, 588, 500, 324

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324


GCD of numbers is the greatest common divisor

So, the GCD (918, 588, 500, 324) = 2.

Find GCD of 918, 588, 500, 324 using Prime Factorization

Given numbers are 918, 588, 500, 324

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 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 918, 588, 500, 324 is 2.

Steps to Calculate GCD of 918, 588, 500, 324 using LCM Formula

Given numbers are 918, 588, 500, 324

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

Apply this formula for all numbers.

Step1:

LCM(918, 588) = 89964

GCD(918, 588) = ( 918 x 588 ) / 89964

= 918 / 588

= 918


Step2:

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

= 6 / 500

= 6


Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2


So, Greatest Common Divisor of 918, 588, 500, 324 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 588, 500, 324

Given numbers are 918, 588, 500, 324
The greatest common divisor of numbers 918, 588, 500, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 588, 500, 324 is 2.

FAQs on GCD of 918, 588, 500, 324 Calculator

1. What is the GCD of 918, 588, 500, 324?

GCD of given numbers 918, 588, 500, 324 is 2


2. How to calculate the greatest common divisor of 918, 588, 500, 324?

We can find the highest common divisor of 918, 588, 500, 324 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, 588, 500, 324 i.e 2.


3. How can I use the GCD of 918, 588, 500, 324Calculator?

Out the numbers 918, 588, 500, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.