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GCD of 720, 912, 162 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 912, 162 quickly. Get the easiest ways to solve the greatest common divisor of 720, 912, 162 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 912, 162 with Factoring?

Given Input numbers are 720, 912, 162

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162


GCD of numbers is the greatest common divisor

So, the GCD (720, 912, 162) = 6.

Find GCD of 720, 912, 162 using Prime Factorization

Given numbers are 720, 912, 162

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 21 x 31

Therefore, GCD of 720, 912, 162 is 6.

Steps to Calculate GCD of 720, 912, 162 using LCM Formula

Given numbers are 720, 912, 162

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

Apply this formula for all numbers.

Step1:

LCM(720, 912) = 13680

GCD(720, 912) = ( 720 x 912 ) / 13680

= 720 / 912

= 720


Step2:

LCM(48, 162) = 1296

GCD(48, 162) = ( 48 x 162 ) / 1296

= 48 / 162

= 48


So, Greatest Common Divisor of 720, 912, 162 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 912, 162

Given numbers are 720, 912, 162
The greatest common divisor of numbers 720, 912, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 912, 162 is 6.

FAQs on GCD of 720, 912, 162 Calculator

1. What is the GCD of 720, 912, 162?

GCD of given numbers 720, 912, 162 is 6


2. How to calculate the greatest common divisor of 720, 912, 162?

We can find the highest common divisor of 720, 912, 162 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 720, 912, 162 i.e 6.


3. How can I use the GCD of 720, 912, 162Calculator?

Out the numbers 720, 912, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.