Online GCD Calculator is useful to find the GCD of 816, 784, 544, 228 quickly. Get the easiest ways to solve the greatest common divisor of 816, 784, 544, 228 i.e 4 in different methods as follows.
Given Input numbers are 816, 784, 544, 228
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (816, 784, 544, 228) = 4.
Given numbers are 816, 784, 544, 228
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 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 816, 784, 544, 228 is 4.
Given numbers are 816, 784, 544, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 784) = 39984
GCD(816, 784) = ( 816 x 784 ) / 39984
= 816 / 784
= 816
Step2:
LCM(16, 544) = 544
GCD(16, 544) = ( 16 x 544 ) / 544
= 16 / 544
= 16
Step3:
LCM(16, 228) = 912
GCD(16, 228) = ( 16 x 228 ) / 912
= 16 / 228
= 16
So, Greatest Common Divisor of 816, 784, 544, 228 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 784, 544, 228
The greatest common divisor of numbers 816, 784, 544, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 784, 544, 228 is 4.
1. What is the GCD of 816, 784, 544, 228?
GCD of given numbers 816, 784, 544, 228 is 4
2. How to calculate the greatest common divisor of 816, 784, 544, 228?
We can find the highest common divisor of 816, 784, 544, 228 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, 784, 544, 228 i.e 4.
3. How can I use the GCD of 816, 784, 544, 228Calculator?
Out the numbers 816, 784, 544, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.