Where do I get the detailed procedure to find GCD of 524, 180, 200?

You can find a detailed procedure to find GCD of 524, 180, 200 on our page.

How to find GCD of 524, 180, 200 on a calculator?

You can find the GCD of 524, 180, 200 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 524, 180, 200 Calculator

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

Online GCD Calculator is useful to find the GCD of 524, 180, 200 quickly. Get the easiest ways to solve the greatest common divisor of 524, 180, 200 i.e 4 in different methods as follows.

How to Find GCD of Numbers 524, 180, 200 with Factoring?

Given Input numbers are 524, 180, 200

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (524, 180, 200) = 4.

Find GCD of 524, 180, 200 using Prime Factorization

Given numbers are 524, 180, 200

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 524, 180, 200 is 4.

Steps to Calculate GCD of 524, 180, 200 using LCM Formula

Given numbers are 524, 180, 200

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

Apply this formula for all numbers.

Step1:

LCM(524, 180) = 23580

GCD(524, 180) = ( 524 x 180 ) / 23580

= 524 / 180

= 524

Step2:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

So, Greatest Common Divisor of 524, 180, 200 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 524, 180, 200

Given numbers are 524, 180, 200
The greatest common divisor of numbers 524, 180, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 180, 200 is 4.

FAQs on GCD of 524, 180, 200 Calculator

1. What is the GCD of 524, 180, 200?

GCD of given numbers 524, 180, 200 is 4

2. How to calculate the greatest common divisor of 524, 180, 200?

We can find the highest common divisor of 524, 180, 200 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 524, 180, 200 i.e 4.

3. How can I use the GCD of 524, 180, 200Calculator?

Out the numbers 524, 180, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.