Online GCD Calculator is useful to find the GCD of 216, 476, 966, 977 quickly. Get the easiest ways to solve the greatest common divisor of 216, 476, 966, 977 i.e 1 in different methods as follows.
Given Input numbers are 216, 476, 966, 977
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (216, 476, 966, 977) = 1.
Given numbers are 216, 476, 966, 977
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 476 are 2 x 2 x 7 x 17
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 216, 476, 966, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 476) = 25704
GCD(216, 476) = ( 216 x 476 ) / 25704
= 216 / 476
= 216
Step2:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
Step3:
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
= 2 / 977
= 2
So, Greatest Common Divisor of 216, 476, 966, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 476, 966, 977
The greatest common divisor of numbers 216, 476, 966, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 476, 966, 977 is 1.
1. What is the GCD of 216, 476, 966, 977?
GCD of given numbers 216, 476, 966, 977 is 1
2. How to calculate the greatest common divisor of 216, 476, 966, 977?
We can find the highest common divisor of 216, 476, 966, 977 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, 476, 966, 977 i.e 1.
3. How can I use the GCD of 216, 476, 966, 977Calculator?
Out the numbers 216, 476, 966, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.