Online GCD Calculator is useful to find the GCD of 888, 264, 561 quickly. Get the easiest ways to solve the greatest common divisor of 888, 264, 561 i.e 3 in different methods as follows.
Given Input numbers are 888, 264, 561
In the factoring method, we have to find the divisors of all numbers
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (888, 264, 561) = 3.
Given numbers are 888, 264, 561
The list of prime factors of all numbers are
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 31
Therefore, GCD of 888, 264, 561 is 3.
Given numbers are 888, 264, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 264) = 9768
GCD(888, 264) = ( 888 x 264 ) / 9768
= 888 / 264
= 888
Step2:
LCM(24, 561) = 4488
GCD(24, 561) = ( 24 x 561 ) / 4488
= 24 / 561
= 24
So, Greatest Common Divisor of 888, 264, 561 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 888, 264, 561
The greatest common divisor of numbers 888, 264, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 264, 561 is 3.
1. What is the GCD of 888, 264, 561?
GCD of given numbers 888, 264, 561 is 3
2. How to calculate the greatest common divisor of 888, 264, 561?
We can find the highest common divisor of 888, 264, 561 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 888, 264, 561 i.e 3.
3. How can I use the GCD of 888, 264, 561Calculator?
Out the numbers 888, 264, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.