Where do I get the detailed procedure to find GCD of 456, 342, 156?

You can find a detailed procedure to find GCD of 456, 342, 156 on our page.

How to find GCD of 456, 342, 156 on a calculator?

You can find the GCD of 456, 342, 156 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, 342, 156 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, 342, 156 quickly. Get the easiest ways to solve the greatest common divisor of 456, 342, 156 i.e 6 in different methods as follows.

How to Find GCD of Numbers 456, 342, 156 with Factoring?

Given Input numbers are 456, 342, 156

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (456, 342, 156) = 6.

Find GCD of 456, 342, 156 using Prime Factorization

Given numbers are 456, 342, 156

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 342 are 2 x 3 x 3 x 19

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 456, 342, 156 is 6.

Steps to Calculate GCD of 456, 342, 156 using LCM Formula

Given numbers are 456, 342, 156

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

Apply this formula for all numbers.

Step1:

LCM(456, 342) = 1368

GCD(456, 342) = ( 456 x 342 ) / 1368

= 456 / 342

= 456

Step2:

LCM(114, 156) = 2964

GCD(114, 156) = ( 114 x 156 ) / 2964

= 114 / 156

= 114

So, Greatest Common Divisor of 456, 342, 156 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 456, 342, 156

Given numbers are 456, 342, 156
The greatest common divisor of numbers 456, 342, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 342, 156 is 6.

FAQs on GCD of 456, 342, 156 Calculator

1. What is the GCD of 456, 342, 156?

GCD of given numbers 456, 342, 156 is 6

2. How to calculate the greatest common divisor of 456, 342, 156?

We can find the highest common divisor of 456, 342, 156 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, 342, 156 i.e 6.

3. How can I use the GCD of 456, 342, 156Calculator?

Out the numbers 456, 342, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.