Online GCD Calculator is useful to find the GCD of 162, 984, 160, 238 quickly. Get the easiest ways to solve the greatest common divisor of 162, 984, 160, 238 i.e 2 in different methods as follows.
Given Input numbers are 162, 984, 160, 238
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (162, 984, 160, 238) = 2.
Given numbers are 162, 984, 160, 238
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 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 162, 984, 160, 238 is 2.
Given numbers are 162, 984, 160, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 984) = 26568
GCD(162, 984) = ( 162 x 984 ) / 26568
= 162 / 984
= 162
Step2:
LCM(6, 160) = 480
GCD(6, 160) = ( 6 x 160 ) / 480
= 6 / 160
= 6
Step3:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 162, 984, 160, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 984, 160, 238
The greatest common divisor of numbers 162, 984, 160, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 984, 160, 238 is 2.
1. What is the GCD of 162, 984, 160, 238?
GCD of given numbers 162, 984, 160, 238 is 2
2. How to calculate the greatest common divisor of 162, 984, 160, 238?
We can find the highest common divisor of 162, 984, 160, 238 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, 984, 160, 238 i.e 2.
3. How can I use the GCD of 162, 984, 160, 238Calculator?
Out the numbers 162, 984, 160, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.