Where do I get the detailed procedure to find GCD of 500, 420, 185?

You can find a detailed procedure to find GCD of 500, 420, 185 on our page.

How to find GCD of 500, 420, 185 on a calculator?

You can find the GCD of 500, 420, 185 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 500, 420, 185 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, 420, 185 quickly. Get the easiest ways to solve the greatest common divisor of 500, 420, 185 i.e 5 in different methods as follows.

How to Find GCD of Numbers 500, 420, 185 with Factoring?

Given Input numbers are 500, 420, 185

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

GCD of numbers is the greatest common divisor

So, the GCD (500, 420, 185) = 5.

Find GCD of 500, 420, 185 using Prime Factorization

Given numbers are 500, 420, 185

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 185 are 5 x 37

The highest common occurrence is 5¹

Therefore, GCD of 500, 420, 185 is 5.

Steps to Calculate GCD of 500, 420, 185 using LCM Formula

Given numbers are 500, 420, 185

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

Apply this formula for all numbers.

Step1:

LCM(500, 420) = 10500

GCD(500, 420) = ( 500 x 420 ) / 10500

= 500 / 420

= 500

Step2:

LCM(20, 185) = 740

GCD(20, 185) = ( 20 x 185 ) / 740

= 20 / 185

= 20

So, Greatest Common Divisor of 500, 420, 185 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 420, 185

Given numbers are 500, 420, 185
The greatest common divisor of numbers 500, 420, 185 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 420, 185 is 5.

FAQs on GCD of 500, 420, 185 Calculator

1. What is the GCD of 500, 420, 185?

GCD of given numbers 500, 420, 185 is 5

2. How to calculate the greatest common divisor of 500, 420, 185?

We can find the highest common divisor of 500, 420, 185 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, 420, 185 i.e 5.

3. How can I use the GCD of 500, 420, 185Calculator?

Out the numbers 500, 420, 185 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.