GCD of 162, 420, 576 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 162, 420, 576 quickly. Get the easiest ways to solve the greatest common divisor of 162, 420, 576 i.e 6 in different methods as follows.
Given Input numbers are 162, 420, 576
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (162, 420, 576) = 6.
Given numbers are 162, 420, 576
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 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 162, 420, 576 is 6.
Steps to Calculate GCD of 162, 420, 576 using LCM Formula
Given numbers are 162, 420, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 420) = 11340
GCD(162, 420) = ( 162 x 420 ) / 11340
= 162 / 420
= 162
Step2:
LCM(6, 576) = 576
GCD(6, 576) = ( 6 x 576 ) / 576
= 6 / 576
= 6
So, Greatest Common Divisor of 162, 420, 576 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 162, 420, 576
Given numbers are 162, 420, 576
The greatest common divisor of numbers 162, 420, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 420, 576 is 6.
FAQs on GCD of 162, 420, 576 Calculator
1. What is the GCD of 162, 420, 576?
GCD of given numbers 162, 420, 576 is 6
2. How to calculate the greatest common divisor of 162, 420, 576?
We can find the highest common divisor of 162, 420, 576 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, 420, 576 i.e 6.
3. How can I use the GCD of 162, 420, 576Calculator?
Out the numbers 162, 420, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.