Where do I get the detailed procedure to find GCD of 456, 732, 182?

You can find a detailed procedure to find GCD of 456, 732, 182 on our page.

How to find GCD of 456, 732, 182 on a calculator?

You can find the GCD of 456, 732, 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 456, 732, 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 456, 732, 182 quickly. Get the easiest ways to solve the greatest common divisor of 456, 732, 182 i.e 2 in different methods as follows.

How to Find GCD of Numbers 456, 732, 182 with Factoring?

Given Input numbers are 456, 732, 182

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 (456, 732, 182) = 2.

Find GCD of 456, 732, 182 using Prime Factorization

Given numbers are 456, 732, 182

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 456, 732, 182 is 2.

Steps to Calculate GCD of 456, 732, 182 using LCM Formula

Given numbers are 456, 732, 182

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

Apply this formula for all numbers.

Step1:

LCM(456, 732) = 27816

GCD(456, 732) = ( 456 x 732 ) / 27816

= 456 / 732

= 456

Step2:

LCM(12, 182) = 1092

GCD(12, 182) = ( 12 x 182 ) / 1092

= 12 / 182

= 12

So, Greatest Common Divisor of 456, 732, 182 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 456, 732, 182

Given numbers are 456, 732, 182
The greatest common divisor of numbers 456, 732, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 732, 182 is 2.

FAQs on GCD of 456, 732, 182 Calculator

1. What is the GCD of 456, 732, 182?

GCD of given numbers 456, 732, 182 is 2

2. How to calculate the greatest common divisor of 456, 732, 182?

We can find the highest common divisor of 456, 732, 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 456, 732, 182 i.e 2.

3. How can I use the GCD of 456, 732, 182Calculator?

Out the numbers 456, 732, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.