Online GCD Calculator is useful to find the GCD of 150, 417, 198, 375 quickly. Get the easiest ways to solve the greatest common divisor of 150, 417, 198, 375 i.e 3 in different methods as follows.
Given Input numbers are 150, 417, 198, 375
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (150, 417, 198, 375) = 3.
Given numbers are 150, 417, 198, 375
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 417 are 3 x 139
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 150, 417, 198, 375 is 3.
Given numbers are 150, 417, 198, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 417) = 20850
GCD(150, 417) = ( 150 x 417 ) / 20850
= 150 / 417
= 150
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
So, Greatest Common Divisor of 150, 417, 198, 375 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 417, 198, 375
The greatest common divisor of numbers 150, 417, 198, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 417, 198, 375 is 3.
1. What is the GCD of 150, 417, 198, 375?
GCD of given numbers 150, 417, 198, 375 is 3
2. How to calculate the greatest common divisor of 150, 417, 198, 375?
We can find the highest common divisor of 150, 417, 198, 375 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 150, 417, 198, 375 i.e 3.
3. How can I use the GCD of 150, 417, 198, 375Calculator?
Out the numbers 150, 417, 198, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.