Online GCD Calculator is useful to find the GCD of 162, 272, 110, 394 quickly. Get the easiest ways to solve the greatest common divisor of 162, 272, 110, 394 i.e 2 in different methods as follows.
Given Input numbers are 162, 272, 110, 394
In the factoring method, we have to find the divisors of all numbers
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (162, 272, 110, 394) = 2.
Given numbers are 162, 272, 110, 394
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 110 are 2 x 5 x 11
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 162, 272, 110, 394 is 2.
Given numbers are 162, 272, 110, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 272) = 22032
GCD(162, 272) = ( 162 x 272 ) / 22032
= 162 / 272
= 162
Step2:
LCM(2, 110) = 110
GCD(2, 110) = ( 2 x 110 ) / 110
= 2 / 110
= 2
Step3:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 162, 272, 110, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 272, 110, 394
The greatest common divisor of numbers 162, 272, 110, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 272, 110, 394 is 2.
1. What is the GCD of 162, 272, 110, 394?
GCD of given numbers 162, 272, 110, 394 is 2
2. How to calculate the greatest common divisor of 162, 272, 110, 394?
We can find the highest common divisor of 162, 272, 110, 394 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 162, 272, 110, 394 i.e 2.
3. How can I use the GCD of 162, 272, 110, 394Calculator?
Out the numbers 162, 272, 110, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.