LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 500, 738, 666 Calculator

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

Online GCD Calculator is useful to find the GCD of 500, 738, 666 quickly. Get the easiest ways to solve the greatest common divisor of 500, 738, 666 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 738, 666 with Factoring?

Given Input numbers are 500, 738, 666

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

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666


GCD of numbers is the greatest common divisor

So, the GCD (500, 738, 666) = 2.

Find GCD of 500, 738, 666 using Prime Factorization

Given numbers are 500, 738, 666

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 500, 738, 666 is 2.

Steps to Calculate GCD of 500, 738, 666 using LCM Formula

Given numbers are 500, 738, 666

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

Apply this formula for all numbers.

Step1:

LCM(500, 738) = 184500

GCD(500, 738) = ( 500 x 738 ) / 184500

= 500 / 738

= 500

Step2:

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

= 2 / 666

= 2


So, Greatest Common Divisor of 500, 738, 666 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 738, 666

Given numbers are 500, 738, 666
The greatest common divisor of numbers 500, 738, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 738, 666 is 2.

FAQs on GCD of 500, 738, 666 Calculator

1. What is the GCD of 500, 738, 666?

GCD of given numbers 500, 738, 666 is 2

2. How to calculate the greatest common divisor of 500, 738, 666?

We can find the highest common divisor of 500, 738, 666 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 500, 738, 666 i.e 2.

3. How can I use the GCD of 500, 738, 666Calculator?

Out the numbers 500, 738, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.