Where do I get the detailed procedure to find GCD of 600, 996, 45?

You can find a detailed procedure to find GCD of 600, 996, 45 on our page.

How to find GCD of 600, 996, 45 on a calculator?

You can find the GCD of 600, 996, 45 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 600, 996, 45 Calculator

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

Online GCD Calculator is useful to find the GCD of 600, 996, 45 quickly. Get the easiest ways to solve the greatest common divisor of 600, 996, 45 i.e 3 in different methods as follows.

How to Find GCD of Numbers 600, 996, 45 with Factoring?

Given Input numbers are 600, 996, 45

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

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (600, 996, 45) = 3.

Find GCD of 600, 996, 45 using Prime Factorization

Given numbers are 600, 996, 45

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 600, 996, 45 is 3.

Steps to Calculate GCD of 600, 996, 45 using LCM Formula

Given numbers are 600, 996, 45

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

Apply this formula for all numbers.

Step1:

LCM(600, 996) = 49800

GCD(600, 996) = ( 600 x 996 ) / 49800

= 600 / 996

= 600

Step2:

LCM(12, 45) = 180

GCD(12, 45) = ( 12 x 45 ) / 180

= 12 / 45

= 12

So, Greatest Common Divisor of 600, 996, 45 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 600, 996, 45

Given numbers are 600, 996, 45
The greatest common divisor of numbers 600, 996, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 996, 45 is 3.

FAQs on GCD of 600, 996, 45 Calculator

1. What is the GCD of 600, 996, 45?

GCD of given numbers 600, 996, 45 is 3

2. How to calculate the greatest common divisor of 600, 996, 45?

We can find the highest common divisor of 600, 996, 45 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 600, 996, 45 i.e 3.

3. How can I use the GCD of 600, 996, 45Calculator?

Out the numbers 600, 996, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.