Where do I get the detailed procedure to find GCD of 240, 408, 182?

You can find a detailed procedure to find GCD of 240, 408, 182 on our page.

How to find GCD of 240, 408, 182 on a calculator?

You can find the GCD of 240, 408, 182 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 240, 408, 182 Calculator

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

Online GCD Calculator is useful to find the GCD of 240, 408, 182 quickly. Get the easiest ways to solve the greatest common divisor of 240, 408, 182 i.e 2 in different methods as follows.

How to Find GCD of Numbers 240, 408, 182 with Factoring?

Given Input numbers are 240, 408, 182

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (240, 408, 182) = 2.

Find GCD of 240, 408, 182 using Prime Factorization

Given numbers are 240, 408, 182

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 240, 408, 182 is 2.

Steps to Calculate GCD of 240, 408, 182 using LCM Formula

Given numbers are 240, 408, 182

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

Apply this formula for all numbers.

Step1:

LCM(240, 408) = 4080

GCD(240, 408) = ( 240 x 408 ) / 4080

= 240 / 408

= 240

Step2:

LCM(24, 182) = 2184

GCD(24, 182) = ( 24 x 182 ) / 2184

= 24 / 182

= 24

So, Greatest Common Divisor of 240, 408, 182 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 240, 408, 182

Given numbers are 240, 408, 182
The greatest common divisor of numbers 240, 408, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 408, 182 is 2.

FAQs on GCD of 240, 408, 182 Calculator

1. What is the GCD of 240, 408, 182?

GCD of given numbers 240, 408, 182 is 2

2. How to calculate the greatest common divisor of 240, 408, 182?

We can find the highest common divisor of 240, 408, 182 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 240, 408, 182 i.e 2.

3. How can I use the GCD of 240, 408, 182Calculator?

Out the numbers 240, 408, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.