Online GCD Calculator is useful to find the GCD of 528, 888, 822 quickly. Get the easiest ways to solve the greatest common divisor of 528, 888, 822 i.e 6 in different methods as follows.
Given Input numbers are 528, 888, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (528, 888, 822) = 6.
Given numbers are 528, 888, 822
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21 x 31
Therefore, GCD of 528, 888, 822 is 6.
Given numbers are 528, 888, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 888) = 19536
GCD(528, 888) = ( 528 x 888 ) / 19536
= 528 / 888
= 528
Step2:
LCM(24, 822) = 3288
GCD(24, 822) = ( 24 x 822 ) / 3288
= 24 / 822
= 24
So, Greatest Common Divisor of 528, 888, 822 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 888, 822
The greatest common divisor of numbers 528, 888, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 888, 822 is 6.
1. What is the GCD of 528, 888, 822?
GCD of given numbers 528, 888, 822 is 6
2. How to calculate the greatest common divisor of 528, 888, 822?
We can find the highest common divisor of 528, 888, 822 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 528, 888, 822 i.e 6.
3. How can I use the GCD of 528, 888, 822Calculator?
Out the numbers 528, 888, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.