GCD of 528, 180, 27 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 528, 180, 27 quickly. Get the easiest ways to solve the greatest common divisor of 528, 180, 27 i.e 3 in different methods as follows.
Given Input numbers are 528, 180, 27
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
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 27 :
The positive integer divisors of 27 that completely divides 27 are.
1, 3, 9, 27
GCD of numbers is the greatest common divisor
So, the GCD (528, 180, 27) = 3.
Given numbers are 528, 180, 27
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 27 are 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 528, 180, 27 is 3.
Steps to Calculate GCD of 528, 180, 27 using LCM Formula
Given numbers are 528, 180, 27
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 180) = 7920
GCD(528, 180) = ( 528 x 180 ) / 7920
= 528 / 180
= 528
Step2:
LCM(12, 27) = 108
GCD(12, 27) = ( 12 x 27 ) / 108
= 12 / 27
= 12
So, Greatest Common Divisor of 528, 180, 27 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 528, 180, 27
Given numbers are 528, 180, 27
The greatest common divisor of numbers 528, 180, 27 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 180, 27 is 3.
FAQs on GCD of 528, 180, 27 Calculator
1. What is the GCD of 528, 180, 27?
GCD of given numbers 528, 180, 27 is 3
2. How to calculate the greatest common divisor of 528, 180, 27?
We can find the highest common divisor of 528, 180, 27 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 528, 180, 27 i.e 3.
3. How can I use the GCD of 528, 180, 27Calculator?
Out the numbers 528, 180, 27 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.