Online GCD Calculator is useful to find the GCD of 838, 390, 198, 150 quickly. Get the easiest ways to solve the greatest common divisor of 838, 390, 198, 150 i.e 2 in different methods as follows.
Given Input numbers are 838, 390, 198, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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 (838, 390, 198, 150) = 2.
Given numbers are 838, 390, 198, 150
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 838, 390, 198, 150 is 2.
Given numbers are 838, 390, 198, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 390) = 163410
GCD(838, 390) = ( 838 x 390 ) / 163410
= 838 / 390
= 838
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
Step3:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
So, Greatest Common Divisor of 838, 390, 198, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 390, 198, 150
The greatest common divisor of numbers 838, 390, 198, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 390, 198, 150 is 2.
1. What is the GCD of 838, 390, 198, 150?
GCD of given numbers 838, 390, 198, 150 is 2
2. How to calculate the greatest common divisor of 838, 390, 198, 150?
We can find the highest common divisor of 838, 390, 198, 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 838, 390, 198, 150 i.e 2.
3. How can I use the GCD of 838, 390, 198, 150Calculator?
Out the numbers 838, 390, 198, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.