Online GCD Calculator is useful to find the GCD of 564, 816, 404 quickly. Get the easiest ways to solve the greatest common divisor of 564, 816, 404 i.e 4 in different methods as follows.
Given Input numbers are 564, 816, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (564, 816, 404) = 4.
Given numbers are 564, 816, 404
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 22
Therefore, GCD of 564, 816, 404 is 4.
Given numbers are 564, 816, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 816) = 38352
GCD(564, 816) = ( 564 x 816 ) / 38352
= 564 / 816
= 564
Step2:
LCM(12, 404) = 1212
GCD(12, 404) = ( 12 x 404 ) / 1212
= 12 / 404
= 12
So, Greatest Common Divisor of 564, 816, 404 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 816, 404
The greatest common divisor of numbers 564, 816, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 816, 404 is 4.
1. What is the GCD of 564, 816, 404?
GCD of given numbers 564, 816, 404 is 4
2. How to calculate the greatest common divisor of 564, 816, 404?
We can find the highest common divisor of 564, 816, 404 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 564, 816, 404 i.e 4.
3. How can I use the GCD of 564, 816, 404Calculator?
Out the numbers 564, 816, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.