GCD of 162, 990, 270 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 162, 990, 270 quickly. Get the easiest ways to solve the greatest common divisor of 162, 990, 270 i.e 18 in different methods as follows.
Given Input numbers are 162, 990, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (162, 990, 270) = 18.
Given numbers are 162, 990, 270
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21 x 32
Therefore, GCD of 162, 990, 270 is 18.
Steps to Calculate GCD of 162, 990, 270 using LCM Formula
Given numbers are 162, 990, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 990) = 8910
GCD(162, 990) = ( 162 x 990 ) / 8910
= 162 / 990
= 162
Step2:
LCM(18, 270) = 270
GCD(18, 270) = ( 18 x 270 ) / 270
= 18 / 270
= 18
So, Greatest Common Divisor of 162, 990, 270 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 162, 990, 270
Given numbers are 162, 990, 270
The greatest common divisor of numbers 162, 990, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 990, 270 is 18.
FAQs on GCD of 162, 990, 270 Calculator
1. What is the GCD of 162, 990, 270?
GCD of given numbers 162, 990, 270 is 18
2. How to calculate the greatest common divisor of 162, 990, 270?
We can find the highest common divisor of 162, 990, 270 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 162, 990, 270 i.e 18.
3. How can I use the GCD of 162, 990, 270Calculator?
Out the numbers 162, 990, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.