Where do I get the detailed procedure to find GCD of 185, 600, 20?

You can find a detailed procedure to find GCD of 185, 600, 20 on our page.

How to find GCD of 185, 600, 20 on a calculator?

You can find the GCD of 185, 600, 20 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 185, 600, 20 Calculator

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

Online GCD Calculator is useful to find the GCD of 185, 600, 20 quickly. Get the easiest ways to solve the greatest common divisor of 185, 600, 20 i.e 5 in different methods as follows.

How to Find GCD of Numbers 185, 600, 20 with Factoring?

Given Input numbers are 185, 600, 20

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

Divisors of 185 :

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

1, 5, 37, 185

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (185, 600, 20) = 5.

Find GCD of 185, 600, 20 using Prime Factorization

Given numbers are 185, 600, 20

The list of prime factors of all numbers are

Prime factors of 185 are 5 x 37

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 5¹

Therefore, GCD of 185, 600, 20 is 5.

Steps to Calculate GCD of 185, 600, 20 using LCM Formula

Given numbers are 185, 600, 20

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

Apply this formula for all numbers.

Step1:

LCM(185, 600) = 22200

GCD(185, 600) = ( 185 x 600 ) / 22200

= 185 / 600

= 185

Step2:

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

= 5 / 20

= 5

So, Greatest Common Divisor of 185, 600, 20 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 185, 600, 20

Given numbers are 185, 600, 20
The greatest common divisor of numbers 185, 600, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 185, 600, 20 is 5.

FAQs on GCD of 185, 600, 20 Calculator

1. What is the GCD of 185, 600, 20?

GCD of given numbers 185, 600, 20 is 5

2. How to calculate the greatest common divisor of 185, 600, 20?

We can find the highest common divisor of 185, 600, 20 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 185, 600, 20 i.e 5.

3. How can I use the GCD of 185, 600, 20Calculator?

Out the numbers 185, 600, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.