Where do I get the detailed procedure to find GCD of 732, 690, 492?

You can find a detailed procedure to find GCD of 732, 690, 492 on our page.

How to find GCD of 732, 690, 492 on a calculator?

You can find the GCD of 732, 690, 492 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, 690, 492 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, 690, 492 quickly. Get the easiest ways to solve the greatest common divisor of 732, 690, 492 i.e 6 in different methods as follows.

How to Find GCD of Numbers 732, 690, 492 with Factoring?

Given Input numbers are 732, 690, 492

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (732, 690, 492) = 6.

Find GCD of 732, 690, 492 using Prime Factorization

Given numbers are 732, 690, 492

The list of prime factors of all numbers are

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

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 732, 690, 492 is 6.

Steps to Calculate GCD of 732, 690, 492 using LCM Formula

Given numbers are 732, 690, 492

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

Apply this formula for all numbers.

Step1:

LCM(732, 690) = 84180

GCD(732, 690) = ( 732 x 690 ) / 84180

= 732 / 690

= 732

Step2:

LCM(6, 492) = 492

GCD(6, 492) = ( 6 x 492 ) / 492

= 6 / 492

= 6

So, Greatest Common Divisor of 732, 690, 492 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 732, 690, 492

Given numbers are 732, 690, 492
The greatest common divisor of numbers 732, 690, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 690, 492 is 6.

FAQs on GCD of 732, 690, 492 Calculator

1. What is the GCD of 732, 690, 492?

GCD of given numbers 732, 690, 492 is 6

2. How to calculate the greatest common divisor of 732, 690, 492?

We can find the highest common divisor of 732, 690, 492 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, 690, 492 i.e 6.

3. How can I use the GCD of 732, 690, 492Calculator?

Out the numbers 732, 690, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.