Online GCD Calculator is useful to find the GCD of 816, 666, 969, 576 quickly. Get the easiest ways to solve the greatest common divisor of 816, 666, 969, 576 i.e 3 in different methods as follows.
Given Input numbers are 816, 666, 969, 576
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 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (816, 666, 969, 576) = 3.
Given numbers are 816, 666, 969, 576
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 666 are 2 x 3 x 3 x 37
Prime factors of 969 are 3 x 17 x 19
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 816, 666, 969, 576 is 3.
Given numbers are 816, 666, 969, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 666) = 90576
GCD(816, 666) = ( 816 x 666 ) / 90576
= 816 / 666
= 816
Step2:
LCM(6, 969) = 1938
GCD(6, 969) = ( 6 x 969 ) / 1938
= 6 / 969
= 6
Step3:
LCM(3, 576) = 576
GCD(3, 576) = ( 3 x 576 ) / 576
= 3 / 576
= 3
So, Greatest Common Divisor of 816, 666, 969, 576 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 666, 969, 576
The greatest common divisor of numbers 816, 666, 969, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 666, 969, 576 is 3.
1. What is the GCD of 816, 666, 969, 576?
GCD of given numbers 816, 666, 969, 576 is 3
2. How to calculate the greatest common divisor of 816, 666, 969, 576?
We can find the highest common divisor of 816, 666, 969, 576 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, 666, 969, 576 i.e 3.
3. How can I use the GCD of 816, 666, 969, 576Calculator?
Out the numbers 816, 666, 969, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.