Online GCD Calculator is useful to find the GCD of 462, 660, 960 quickly. Get the easiest ways to solve the greatest common divisor of 462, 660, 960 i.e 6 in different methods as follows.
Given Input numbers are 462, 660, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 (462, 660, 960) = 6.
Given numbers are 462, 660, 960
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
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 21 x 31
Therefore, GCD of 462, 660, 960 is 6.
Given numbers are 462, 660, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 660) = 4620
GCD(462, 660) = ( 462 x 660 ) / 4620
= 462 / 660
= 462
Step2:
LCM(66, 960) = 10560
GCD(66, 960) = ( 66 x 960 ) / 10560
= 66 / 960
= 66
So, Greatest Common Divisor of 462, 660, 960 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 660, 960
The greatest common divisor of numbers 462, 660, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 660, 960 is 6.
1. What is the GCD of 462, 660, 960?
GCD of given numbers 462, 660, 960 is 6
2. How to calculate the greatest common divisor of 462, 660, 960?
We can find the highest common divisor of 462, 660, 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 462, 660, 960 i.e 6.
3. How can I use the GCD of 462, 660, 960Calculator?
Out the numbers 462, 660, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.