Online GCD Calculator is useful to find the GCD of 176, 364, 594, 221 quickly. Get the easiest ways to solve the greatest common divisor of 176, 364, 594, 221 i.e 1 in different methods as follows.
Given Input numbers are 176, 364, 594, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (176, 364, 594, 221) = 1.
Given numbers are 176, 364, 594, 221
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 176, 364, 594, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 364) = 16016
GCD(176, 364) = ( 176 x 364 ) / 16016
= 176 / 364
= 176
Step2:
LCM(4, 594) = 1188
GCD(4, 594) = ( 4 x 594 ) / 1188
= 4 / 594
= 4
Step3:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
So, Greatest Common Divisor of 176, 364, 594, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 364, 594, 221
The greatest common divisor of numbers 176, 364, 594, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 364, 594, 221 is 1.
1. What is the GCD of 176, 364, 594, 221?
GCD of given numbers 176, 364, 594, 221 is 1
2. How to calculate the greatest common divisor of 176, 364, 594, 221?
We can find the highest common divisor of 176, 364, 594, 221 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 176, 364, 594, 221 i.e 1.
3. How can I use the GCD of 176, 364, 594, 221Calculator?
Out the numbers 176, 364, 594, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.