Where do I get the detailed procedure to find GCD of 120, 584, 40?

You can find a detailed procedure to find GCD of 120, 584, 40 on our page.

How to find GCD of 120, 584, 40 on a calculator?

You can find the GCD of 120, 584, 40 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, 584, 40 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, 584, 40 quickly. Get the easiest ways to solve the greatest common divisor of 120, 584, 40 i.e 8 in different methods as follows.

How to Find GCD of Numbers 120, 584, 40 with Factoring?

Given Input numbers are 120, 584, 40

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

GCD of numbers is the greatest common divisor

So, the GCD (120, 584, 40) = 8.

Find GCD of 120, 584, 40 using Prime Factorization

Given numbers are 120, 584, 40

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 584 are 2 x 2 x 2 x 73

Prime factors of 40 are 2 x 2 x 2 x 5

The highest common occurrence is 2³

Therefore, GCD of 120, 584, 40 is 8.

Steps to Calculate GCD of 120, 584, 40 using LCM Formula

Given numbers are 120, 584, 40

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

Apply this formula for all numbers.

Step1:

LCM(120, 584) = 8760

GCD(120, 584) = ( 120 x 584 ) / 8760

= 120 / 584

= 120

Step2:

LCM(8, 40) = 40

GCD(8, 40) = ( 8 x 40 ) / 40

= 8 / 40

= 8

So, Greatest Common Divisor of 120, 584, 40 is 8

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 120, 584, 40

Given numbers are 120, 584, 40
The greatest common divisor of numbers 120, 584, 40 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 584, 40 is 8.

FAQs on GCD of 120, 584, 40 Calculator

1. What is the GCD of 120, 584, 40?

GCD of given numbers 120, 584, 40 is 8

2. How to calculate the greatest common divisor of 120, 584, 40?

We can find the highest common divisor of 120, 584, 40 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, 584, 40 i.e 8.

3. How can I use the GCD of 120, 584, 40Calculator?

Out the numbers 120, 584, 40 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.