Online GCD Calculator is useful to find the GCD of 174, 388, 334, 224 quickly. Get the easiest ways to solve the greatest common divisor of 174, 388, 334, 224 i.e 2 in different methods as follows.
Given Input numbers are 174, 388, 334, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
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 (174, 388, 334, 224) = 2.
Given numbers are 174, 388, 334, 224
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 388 are 2 x 2 x 97
Prime factors of 334 are 2 x 167
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 174, 388, 334, 224 is 2.
Given numbers are 174, 388, 334, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 388) = 33756
GCD(174, 388) = ( 174 x 388 ) / 33756
= 174 / 388
= 174
Step2:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
Step3:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
So, Greatest Common Divisor of 174, 388, 334, 224 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 388, 334, 224
The greatest common divisor of numbers 174, 388, 334, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 388, 334, 224 is 2.
1. What is the GCD of 174, 388, 334, 224?
GCD of given numbers 174, 388, 334, 224 is 2
2. How to calculate the greatest common divisor of 174, 388, 334, 224?
We can find the highest common divisor of 174, 388, 334, 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 174, 388, 334, 224 i.e 2.
3. How can I use the GCD of 174, 388, 334, 224Calculator?
Out the numbers 174, 388, 334, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.