Online GCD Calculator is useful to find the GCD of 366, 150, 111, 135 quickly. Get the easiest ways to solve the greatest common divisor of 366, 150, 111, 135 i.e 3 in different methods as follows.
Given Input numbers are 366, 150, 111, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
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 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (366, 150, 111, 135) = 3.
Given numbers are 366, 150, 111, 135
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 111 are 3 x 37
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 366, 150, 111, 135 is 3.
Given numbers are 366, 150, 111, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 150) = 9150
GCD(366, 150) = ( 366 x 150 ) / 9150
= 366 / 150
= 366
Step2:
LCM(6, 111) = 222
GCD(6, 111) = ( 6 x 111 ) / 222
= 6 / 111
= 6
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 366, 150, 111, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 150, 111, 135
The greatest common divisor of numbers 366, 150, 111, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 150, 111, 135 is 3.
1. What is the GCD of 366, 150, 111, 135?
GCD of given numbers 366, 150, 111, 135 is 3
2. How to calculate the greatest common divisor of 366, 150, 111, 135?
We can find the highest common divisor of 366, 150, 111, 135 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 366, 150, 111, 135 i.e 3.
3. How can I use the GCD of 366, 150, 111, 135Calculator?
Out the numbers 366, 150, 111, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.