Online GCD Calculator is useful to find the GCD of 944, 418, 214, 150 quickly. Get the easiest ways to solve the greatest common divisor of 944, 418, 214, 150 i.e 2 in different methods as follows.
Given Input numbers are 944, 418, 214, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
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 (944, 418, 214, 150) = 2.
Given numbers are 944, 418, 214, 150
The list of prime factors of all numbers are
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 418 are 2 x 11 x 19
Prime factors of 214 are 2 x 107
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 944, 418, 214, 150 is 2.
Given numbers are 944, 418, 214, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(944, 418) = 197296
GCD(944, 418) = ( 944 x 418 ) / 197296
= 944 / 418
= 944
Step2:
LCM(2, 214) = 214
GCD(2, 214) = ( 2 x 214 ) / 214
= 2 / 214
= 2
Step3:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
So, Greatest Common Divisor of 944, 418, 214, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 944, 418, 214, 150
The greatest common divisor of numbers 944, 418, 214, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 418, 214, 150 is 2.
1. What is the GCD of 944, 418, 214, 150?
GCD of given numbers 944, 418, 214, 150 is 2
2. How to calculate the greatest common divisor of 944, 418, 214, 150?
We can find the highest common divisor of 944, 418, 214, 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 944, 418, 214, 150 i.e 2.
3. How can I use the GCD of 944, 418, 214, 150Calculator?
Out the numbers 944, 418, 214, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.