GCD of 408, 180, 378 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 408, 180, 378 quickly. Get the easiest ways to solve the greatest common divisor of 408, 180, 378 i.e 6 in different methods as follows.
Given Input numbers are 408, 180, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (408, 180, 378) = 6.
Given numbers are 408, 180, 378
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 408, 180, 378 is 6.
Steps to Calculate GCD of 408, 180, 378 using LCM Formula
Given numbers are 408, 180, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 180) = 6120
GCD(408, 180) = ( 408 x 180 ) / 6120
= 408 / 180
= 408
Step2:
LCM(12, 378) = 756
GCD(12, 378) = ( 12 x 378 ) / 756
= 12 / 378
= 12
So, Greatest Common Divisor of 408, 180, 378 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 408, 180, 378
Given numbers are 408, 180, 378
The greatest common divisor of numbers 408, 180, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 180, 378 is 6.
FAQs on GCD of 408, 180, 378 Calculator
1. What is the GCD of 408, 180, 378?
GCD of given numbers 408, 180, 378 is 6
2. How to calculate the greatest common divisor of 408, 180, 378?
We can find the highest common divisor of 408, 180, 378 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 408, 180, 378 i.e 6.
3. How can I use the GCD of 408, 180, 378Calculator?
Out the numbers 408, 180, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.