GCD of 441, 414, 180 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 441, 414, 180 quickly. Get the easiest ways to solve the greatest common divisor of 441, 414, 180 i.e 9 in different methods as follows.
Given Input numbers are 441, 414, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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
GCD of numbers is the greatest common divisor
So, the GCD (441, 414, 180) = 9.
Given numbers are 441, 414, 180
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 32
Therefore, GCD of 441, 414, 180 is 9.
Steps to Calculate GCD of 441, 414, 180 using LCM Formula
Given numbers are 441, 414, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 414) = 20286
GCD(441, 414) = ( 441 x 414 ) / 20286
= 441 / 414
= 441
Step2:
LCM(9, 180) = 180
GCD(9, 180) = ( 9 x 180 ) / 180
= 9 / 180
= 9
So, Greatest Common Divisor of 441, 414, 180 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 441, 414, 180
Given numbers are 441, 414, 180
The greatest common divisor of numbers 441, 414, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 414, 180 is 9.
FAQs on GCD of 441, 414, 180 Calculator
1. What is the GCD of 441, 414, 180?
GCD of given numbers 441, 414, 180 is 9
2. How to calculate the greatest common divisor of 441, 414, 180?
We can find the highest common divisor of 441, 414, 180 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 441, 414, 180 i.e 9.
3. How can I use the GCD of 441, 414, 180Calculator?
Out the numbers 441, 414, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.