Where do I get the detailed procedure to find GCD of 120, 500, 994?

You can find a detailed procedure to find GCD of 120, 500, 994 on our page.

How to find GCD of 120, 500, 994 on a calculator?

You can find the GCD of 120, 500, 994 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 120, 500, 994 Calculator

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

Online GCD Calculator is useful to find the GCD of 120, 500, 994 quickly. Get the easiest ways to solve the greatest common divisor of 120, 500, 994 i.e 2 in different methods as follows.

How to Find GCD of Numbers 120, 500, 994 with Factoring?

Given Input numbers are 120, 500, 994

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (120, 500, 994) = 2.

Find GCD of 120, 500, 994 using Prime Factorization

Given numbers are 120, 500, 994

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 120, 500, 994 is 2.

Steps to Calculate GCD of 120, 500, 994 using LCM Formula

Given numbers are 120, 500, 994

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

Apply this formula for all numbers.

Step1:

LCM(120, 500) = 3000

GCD(120, 500) = ( 120 x 500 ) / 3000

= 120 / 500

= 120

Step2:

LCM(20, 994) = 9940

GCD(20, 994) = ( 20 x 994 ) / 9940

= 20 / 994

= 20

So, Greatest Common Divisor of 120, 500, 994 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 120, 500, 994

Given numbers are 120, 500, 994
The greatest common divisor of numbers 120, 500, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 500, 994 is 2.

FAQs on GCD of 120, 500, 994 Calculator

1. What is the GCD of 120, 500, 994?

GCD of given numbers 120, 500, 994 is 2

2. How to calculate the greatest common divisor of 120, 500, 994?

We can find the highest common divisor of 120, 500, 994 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 120, 500, 994 i.e 2.

3. How can I use the GCD of 120, 500, 994Calculator?

Out the numbers 120, 500, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.