Online GCD Calculator is useful to find the GCD of 216, 963, 460, 117 quickly. Get the easiest ways to solve the greatest common divisor of 216, 963, 460, 117 i.e 1 in different methods as follows.
Given Input numbers are 216, 963, 460, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (216, 963, 460, 117) = 1.
Given numbers are 216, 963, 460, 117
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 963 are 3 x 3 x 107
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 216, 963, 460, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 963) = 23112
GCD(216, 963) = ( 216 x 963 ) / 23112
= 216 / 963
= 216
Step2:
LCM(9, 460) = 4140
GCD(9, 460) = ( 9 x 460 ) / 4140
= 9 / 460
= 9
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 216, 963, 460, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 963, 460, 117
The greatest common divisor of numbers 216, 963, 460, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 963, 460, 117 is 1.
1. What is the GCD of 216, 963, 460, 117?
GCD of given numbers 216, 963, 460, 117 is 1
2. How to calculate the greatest common divisor of 216, 963, 460, 117?
We can find the highest common divisor of 216, 963, 460, 117 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 216, 963, 460, 117 i.e 1.
3. How can I use the GCD of 216, 963, 460, 117Calculator?
Out the numbers 216, 963, 460, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.