Online GCD Calculator is useful to find the GCD of 216, 182, 320, 150 quickly. Get the easiest ways to solve the greatest common divisor of 216, 182, 320, 150 i.e 2 in different methods as follows.
Given Input numbers are 216, 182, 320, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (216, 182, 320, 150) = 2.
Given numbers are 216, 182, 320, 150
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 182 are 2 x 7 x 13
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 216, 182, 320, 150 is 2.
Given numbers are 216, 182, 320, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 182) = 19656
GCD(216, 182) = ( 216 x 182 ) / 19656
= 216 / 182
= 216
Step2:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
Step3:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
So, Greatest Common Divisor of 216, 182, 320, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 182, 320, 150
The greatest common divisor of numbers 216, 182, 320, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 182, 320, 150 is 2.
1. What is the GCD of 216, 182, 320, 150?
GCD of given numbers 216, 182, 320, 150 is 2
2. How to calculate the greatest common divisor of 216, 182, 320, 150?
We can find the highest common divisor of 216, 182, 320, 150 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 216, 182, 320, 150 i.e 2.
3. How can I use the GCD of 216, 182, 320, 150Calculator?
Out the numbers 216, 182, 320, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.