Where do I get the detailed procedure to find GCD of 732, 120, 234?

You can find a detailed procedure to find GCD of 732, 120, 234 on our page.

How to find GCD of 732, 120, 234 on a calculator?

You can find the GCD of 732, 120, 234 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 732, 120, 234 Calculator

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

Online GCD Calculator is useful to find the GCD of 732, 120, 234 quickly. Get the easiest ways to solve the greatest common divisor of 732, 120, 234 i.e 6 in different methods as follows.

How to Find GCD of Numbers 732, 120, 234 with Factoring?

Given Input numbers are 732, 120, 234

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

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 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 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (732, 120, 234) = 6.

Find GCD of 732, 120, 234 using Prime Factorization

Given numbers are 732, 120, 234

The list of prime factors of all numbers are

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

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

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 732, 120, 234 is 6.

Steps to Calculate GCD of 732, 120, 234 using LCM Formula

Given numbers are 732, 120, 234

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

Apply this formula for all numbers.

Step1:

LCM(732, 120) = 7320

GCD(732, 120) = ( 732 x 120 ) / 7320

= 732 / 120

= 732

Step2:

LCM(12, 234) = 468

GCD(12, 234) = ( 12 x 234 ) / 468

= 12 / 234

= 12

So, Greatest Common Divisor of 732, 120, 234 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 732, 120, 234

Given numbers are 732, 120, 234
The greatest common divisor of numbers 732, 120, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 120, 234 is 6.

FAQs on GCD of 732, 120, 234 Calculator

1. What is the GCD of 732, 120, 234?

GCD of given numbers 732, 120, 234 is 6

2. How to calculate the greatest common divisor of 732, 120, 234?

We can find the highest common divisor of 732, 120, 234 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 732, 120, 234 i.e 6.

3. How can I use the GCD of 732, 120, 234Calculator?

Out the numbers 732, 120, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.