Online GCD Calculator is useful to find the GCD of 561, 600, 960, 666 quickly. Get the easiest ways to solve the greatest common divisor of 561, 600, 960, 666 i.e 3 in different methods as follows.
Given Input numbers are 561, 600, 960, 666
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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
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
GCD of numbers is the greatest common divisor
So, the GCD (561, 600, 960, 666) = 3.
Given numbers are 561, 600, 960, 666
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 666 are 2 x 3 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 561, 600, 960, 666 is 3.
Given numbers are 561, 600, 960, 666
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 600) = 112200
GCD(561, 600) = ( 561 x 600 ) / 112200
= 561 / 600
= 561
Step2:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
Step3:
LCM(3, 666) = 666
GCD(3, 666) = ( 3 x 666 ) / 666
= 3 / 666
= 3
So, Greatest Common Divisor of 561, 600, 960, 666 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 600, 960, 666
The greatest common divisor of numbers 561, 600, 960, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 600, 960, 666 is 3.
1. What is the GCD of 561, 600, 960, 666?
GCD of given numbers 561, 600, 960, 666 is 3
2. How to calculate the greatest common divisor of 561, 600, 960, 666?
We can find the highest common divisor of 561, 600, 960, 666 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 561, 600, 960, 666 i.e 3.
3. How can I use the GCD of 561, 600, 960, 666Calculator?
Out the numbers 561, 600, 960, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.