Online GCD Calculator is useful to find the GCD of 150, 258, 466, 312 quickly. Get the easiest ways to solve the greatest common divisor of 150, 258, 466, 312 i.e 2 in different methods as follows.
Given Input numbers are 150, 258, 466, 312
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 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (150, 258, 466, 312) = 2.
Given numbers are 150, 258, 466, 312
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 258 are 2 x 3 x 43
Prime factors of 466 are 2 x 233
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 150, 258, 466, 312 is 2.
Given numbers are 150, 258, 466, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 258) = 6450
GCD(150, 258) = ( 150 x 258 ) / 6450
= 150 / 258
= 150
Step2:
LCM(6, 466) = 1398
GCD(6, 466) = ( 6 x 466 ) / 1398
= 6 / 466
= 6
Step3:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 150, 258, 466, 312 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 258, 466, 312
The greatest common divisor of numbers 150, 258, 466, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 258, 466, 312 is 2.
1. What is the GCD of 150, 258, 466, 312?
GCD of given numbers 150, 258, 466, 312 is 2
2. How to calculate the greatest common divisor of 150, 258, 466, 312?
We can find the highest common divisor of 150, 258, 466, 312 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, 258, 466, 312 i.e 2.
3. How can I use the GCD of 150, 258, 466, 312Calculator?
Out the numbers 150, 258, 466, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.