GCD of 180, 648, 492 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 648, 492 quickly. Get the easiest ways to solve the greatest common divisor of 180, 648, 492 i.e 12 in different methods as follows.
Given Input numbers are 180, 648, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 (180, 648, 492) = 12.
Given numbers are 180, 648, 492
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 22 x 31
Therefore, GCD of 180, 648, 492 is 12.
Steps to Calculate GCD of 180, 648, 492 using LCM Formula
Given numbers are 180, 648, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 648) = 3240
GCD(180, 648) = ( 180 x 648 ) / 3240
= 180 / 648
= 180
Step2:
LCM(36, 492) = 1476
GCD(36, 492) = ( 36 x 492 ) / 1476
= 36 / 492
= 36
So, Greatest Common Divisor of 180, 648, 492 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 648, 492
Given numbers are 180, 648, 492
The greatest common divisor of numbers 180, 648, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 648, 492 is 12.
FAQs on GCD of 180, 648, 492 Calculator
1. What is the GCD of 180, 648, 492?
GCD of given numbers 180, 648, 492 is 12
2. How to calculate the greatest common divisor of 180, 648, 492?
We can find the highest common divisor of 180, 648, 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 180, 648, 492 i.e 12.
3. How can I use the GCD of 180, 648, 492Calculator?
Out the numbers 180, 648, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.