Online GCD Calculator is useful to find the GCD of 552, 188, 204, 224 quickly. Get the easiest ways to solve the greatest common divisor of 552, 188, 204, 224 i.e 4 in different methods as follows.
Given Input numbers are 552, 188, 204, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (552, 188, 204, 224) = 4.
Given numbers are 552, 188, 204, 224
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 188 are 2 x 2 x 47
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 552, 188, 204, 224 is 4.
Given numbers are 552, 188, 204, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 188) = 25944
GCD(552, 188) = ( 552 x 188 ) / 25944
= 552 / 188
= 552
Step2:
LCM(4, 204) = 204
GCD(4, 204) = ( 4 x 204 ) / 204
= 4 / 204
= 4
Step3:
LCM(4, 224) = 224
GCD(4, 224) = ( 4 x 224 ) / 224
= 4 / 224
= 4
So, Greatest Common Divisor of 552, 188, 204, 224 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 188, 204, 224
The greatest common divisor of numbers 552, 188, 204, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 188, 204, 224 is 4.
1. What is the GCD of 552, 188, 204, 224?
GCD of given numbers 552, 188, 204, 224 is 4
2. How to calculate the greatest common divisor of 552, 188, 204, 224?
We can find the highest common divisor of 552, 188, 204, 224 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 552, 188, 204, 224 i.e 4.
3. How can I use the GCD of 552, 188, 204, 224Calculator?
Out the numbers 552, 188, 204, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.