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GCD of 500, 476, 180 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, 476, 180 quickly. Get the easiest ways to solve the greatest common divisor of 500, 476, 180 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 476, 180 with Factoring?

Given Input numbers are 500, 476, 180

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180


GCD of numbers is the greatest common divisor

So, the GCD (500, 476, 180) = 4.

Find GCD of 500, 476, 180 using Prime Factorization

Given numbers are 500, 476, 180

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 476 are 2 x 2 x 7 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 22

Therefore, GCD of 500, 476, 180 is 4.

Steps to Calculate GCD of 500, 476, 180 using LCM Formula

Given numbers are 500, 476, 180

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

Apply this formula for all numbers.

Step1:

LCM(500, 476) = 59500

GCD(500, 476) = ( 500 x 476 ) / 59500

= 500 / 476

= 500

Step2:

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

= 4 / 180

= 4


So, Greatest Common Divisor of 500, 476, 180 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 476, 180

Given numbers are 500, 476, 180
The greatest common divisor of numbers 500, 476, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 476, 180 is 4.

FAQs on GCD of 500, 476, 180 Calculator

1. What is the GCD of 500, 476, 180?

GCD of given numbers 500, 476, 180 is 4

2. How to calculate the greatest common divisor of 500, 476, 180?

We can find the highest common divisor of 500, 476, 180 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, 476, 180 i.e 4.

3. How can I use the GCD of 500, 476, 180Calculator?

Out the numbers 500, 476, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.