Online GCD Calculator is useful to find the GCD of 816, 221, 812, 960 quickly. Get the easiest ways to solve the greatest common divisor of 816, 221, 812, 960 i.e 1 in different methods as follows.
Given Input numbers are 816, 221, 812, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 (816, 221, 812, 960) = 1.
Given numbers are 816, 221, 812, 960
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 221 are 13 x 17
Prime factors of 812 are 2 x 2 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 above numbers do not have any common prime factor. So GCD is 1
Given numbers are 816, 221, 812, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 221) = 10608
GCD(816, 221) = ( 816 x 221 ) / 10608
= 816 / 221
= 816
Step2:
LCM(17, 812) = 13804
GCD(17, 812) = ( 17 x 812 ) / 13804
= 17 / 812
= 17
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 816, 221, 812, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 221, 812, 960
The greatest common divisor of numbers 816, 221, 812, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 221, 812, 960 is 1.
1. What is the GCD of 816, 221, 812, 960?
GCD of given numbers 816, 221, 812, 960 is 1
2. How to calculate the greatest common divisor of 816, 221, 812, 960?
We can find the highest common divisor of 816, 221, 812, 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 816, 221, 812, 960 i.e 1.
3. How can I use the GCD of 816, 221, 812, 960Calculator?
Out the numbers 816, 221, 812, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.