Online GCD Calculator is useful to find the GCD of 387, 927, 729, 162 quickly. Get the easiest ways to solve the greatest common divisor of 387, 927, 729, 162 i.e 9 in different methods as follows.
Given Input numbers are 387, 927, 729, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (387, 927, 729, 162) = 9.
Given numbers are 387, 927, 729, 162
The list of prime factors of all numbers are
Prime factors of 387 are 3 x 3 x 43
Prime factors of 927 are 3 x 3 x 103
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 387, 927, 729, 162 is 9.
Given numbers are 387, 927, 729, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(387, 927) = 39861
GCD(387, 927) = ( 387 x 927 ) / 39861
= 387 / 927
= 387
Step2:
LCM(9, 729) = 729
GCD(9, 729) = ( 9 x 729 ) / 729
= 9 / 729
= 9
Step3:
LCM(9, 162) = 162
GCD(9, 162) = ( 9 x 162 ) / 162
= 9 / 162
= 9
So, Greatest Common Divisor of 387, 927, 729, 162 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 387, 927, 729, 162
The greatest common divisor of numbers 387, 927, 729, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 927, 729, 162 is 9.
1. What is the GCD of 387, 927, 729, 162?
GCD of given numbers 387, 927, 729, 162 is 9
2. How to calculate the greatest common divisor of 387, 927, 729, 162?
We can find the highest common divisor of 387, 927, 729, 162 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 387, 927, 729, 162 i.e 9.
3. How can I use the GCD of 387, 927, 729, 162Calculator?
Out the numbers 387, 927, 729, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.