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GCD of 309, 312, 500 Calculator

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

Online GCD Calculator is useful to find the GCD of 309, 312, 500 quickly. Get the easiest ways to solve the greatest common divisor of 309, 312, 500 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 312, 500 with Factoring?

Given Input numbers are 309, 312, 500

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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


GCD of numbers is the greatest common divisor

So, the GCD (309, 312, 500) = 1.

Find GCD of 309, 312, 500 using Prime Factorization

Given numbers are 309, 312, 500

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 309, 312, 500 using LCM Formula

Given numbers are 309, 312, 500

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

Apply this formula for all numbers.

Step1:

LCM(309, 312) = 32136

GCD(309, 312) = ( 309 x 312 ) / 32136

= 309 / 312

= 309

Step2:

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

= 3 / 500

= 3


So, Greatest Common Divisor of 309, 312, 500 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 309, 312, 500

Given numbers are 309, 312, 500
The greatest common divisor of numbers 309, 312, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 312, 500 is 1.

FAQs on GCD of 309, 312, 500 Calculator

1. What is the GCD of 309, 312, 500?

GCD of given numbers 309, 312, 500 is 1

2. How to calculate the greatest common divisor of 309, 312, 500?

We can find the highest common divisor of 309, 312, 500 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 309, 312, 500 i.e 1.

3. How can I use the GCD of 309, 312, 500Calculator?

Out the numbers 309, 312, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.