Online GCD Calculator is useful to find the GCD of 432, 162, 678 quickly. Get the easiest ways to solve the greatest common divisor of 432, 162, 678 i.e 6 in different methods as follows.
Given Input numbers are 432, 162, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (432, 162, 678) = 6.
Given numbers are 432, 162, 678
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21 x 31
Therefore, GCD of 432, 162, 678 is 6.
Given numbers are 432, 162, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 162) = 1296
GCD(432, 162) = ( 432 x 162 ) / 1296
= 432 / 162
= 432
Step2:
LCM(54, 678) = 6102
GCD(54, 678) = ( 54 x 678 ) / 6102
= 54 / 678
= 54
So, Greatest Common Divisor of 432, 162, 678 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 162, 678
The greatest common divisor of numbers 432, 162, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 162, 678 is 6.
1. What is the GCD of 432, 162, 678?
GCD of given numbers 432, 162, 678 is 6
2. How to calculate the greatest common divisor of 432, 162, 678?
We can find the highest common divisor of 432, 162, 678 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 432, 162, 678 i.e 6.
3. How can I use the GCD of 432, 162, 678Calculator?
Out the numbers 432, 162, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.