Online GCD Calculator is useful to find the GCD of 312, 450, 609, 960 quickly. Get the easiest ways to solve the greatest common divisor of 312, 450, 609, 960 i.e 3 in different methods as follows.
Given Input numbers are 312, 450, 609, 960
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (312, 450, 609, 960) = 3.
Given numbers are 312, 450, 609, 960
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 609 are 3 x 7 x 29
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 312, 450, 609, 960 is 3.
Given numbers are 312, 450, 609, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 450) = 23400
GCD(312, 450) = ( 312 x 450 ) / 23400
= 312 / 450
= 312
Step2:
LCM(6, 609) = 1218
GCD(6, 609) = ( 6 x 609 ) / 1218
= 6 / 609
= 6
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 312, 450, 609, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 450, 609, 960
The greatest common divisor of numbers 312, 450, 609, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 450, 609, 960 is 3.
1. What is the GCD of 312, 450, 609, 960?
GCD of given numbers 312, 450, 609, 960 is 3
2. How to calculate the greatest common divisor of 312, 450, 609, 960?
We can find the highest common divisor of 312, 450, 609, 960 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 312, 450, 609, 960 i.e 3.
3. How can I use the GCD of 312, 450, 609, 960Calculator?
Out the numbers 312, 450, 609, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.