Where do I get the detailed procedure to find GCD of 408, 870, 120?

You can find a detailed procedure to find GCD of 408, 870, 120 on our page.

How to find GCD of 408, 870, 120 on a calculator?

You can find the GCD of 408, 870, 120 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 408, 870, 120 Calculator

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

Online GCD Calculator is useful to find the GCD of 408, 870, 120 quickly. Get the easiest ways to solve the greatest common divisor of 408, 870, 120 i.e 6 in different methods as follows.

How to Find GCD of Numbers 408, 870, 120 with Factoring?

Given Input numbers are 408, 870, 120

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

GCD of numbers is the greatest common divisor

So, the GCD (408, 870, 120) = 6.

Find GCD of 408, 870, 120 using Prime Factorization

Given numbers are 408, 870, 120

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 408, 870, 120 is 6.

Steps to Calculate GCD of 408, 870, 120 using LCM Formula

Given numbers are 408, 870, 120

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

Apply this formula for all numbers.

Step1:

LCM(408, 870) = 59160

GCD(408, 870) = ( 408 x 870 ) / 59160

= 408 / 870

= 408

Step2:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 408, 870, 120 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 408, 870, 120

Given numbers are 408, 870, 120
The greatest common divisor of numbers 408, 870, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 870, 120 is 6.

FAQs on GCD of 408, 870, 120 Calculator

1. What is the GCD of 408, 870, 120?

GCD of given numbers 408, 870, 120 is 6

2. How to calculate the greatest common divisor of 408, 870, 120?

We can find the highest common divisor of 408, 870, 120 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 408, 870, 120 i.e 6.

3. How can I use the GCD of 408, 870, 120Calculator?

Out the numbers 408, 870, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.