Online GCD Calculator is useful to find the GCD of 363, 374, 198, 375 quickly. Get the easiest ways to solve the greatest common divisor of 363, 374, 198, 375 i.e 1 in different methods as follows.
Given Input numbers are 363, 374, 198, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (363, 374, 198, 375) = 1.
Given numbers are 363, 374, 198, 375
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 374 are 2 x 11 x 17
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 375 are 3 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 363, 374, 198, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 374) = 12342
GCD(363, 374) = ( 363 x 374 ) / 12342
= 363 / 374
= 363
Step2:
LCM(11, 198) = 198
GCD(11, 198) = ( 11 x 198 ) / 198
= 11 / 198
= 11
Step3:
LCM(11, 375) = 4125
GCD(11, 375) = ( 11 x 375 ) / 4125
= 11 / 375
= 11
So, Greatest Common Divisor of 363, 374, 198, 375 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 363, 374, 198, 375
The greatest common divisor of numbers 363, 374, 198, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 374, 198, 375 is 1.
1. What is the GCD of 363, 374, 198, 375?
GCD of given numbers 363, 374, 198, 375 is 1
2. How to calculate the greatest common divisor of 363, 374, 198, 375?
We can find the highest common divisor of 363, 374, 198, 375 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 363, 374, 198, 375 i.e 1.
3. How can I use the GCD of 363, 374, 198, 375Calculator?
Out the numbers 363, 374, 198, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.