Online GCD Calculator is useful to find the GCD of 501, 324, 198, 361 quickly. Get the easiest ways to solve the greatest common divisor of 501, 324, 198, 361 i.e 1 in different methods as follows.
Given Input numbers are 501, 324, 198, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (501, 324, 198, 361) = 1.
Given numbers are 501, 324, 198, 361
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 501, 324, 198, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 324) = 54108
GCD(501, 324) = ( 501 x 324 ) / 54108
= 501 / 324
= 501
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 361) = 1083
GCD(3, 361) = ( 3 x 361 ) / 1083
= 3 / 361
= 3
So, Greatest Common Divisor of 501, 324, 198, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 324, 198, 361
The greatest common divisor of numbers 501, 324, 198, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 324, 198, 361 is 1.
1. What is the GCD of 501, 324, 198, 361?
GCD of given numbers 501, 324, 198, 361 is 1
2. How to calculate the greatest common divisor of 501, 324, 198, 361?
We can find the highest common divisor of 501, 324, 198, 361 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 501, 324, 198, 361 i.e 1.
3. How can I use the GCD of 501, 324, 198, 361Calculator?
Out the numbers 501, 324, 198, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.