Online GCD Calculator is useful to find the GCD of 105, 379, 361, 304 quickly. Get the easiest ways to solve the greatest common divisor of 105, 379, 361, 304 i.e 1 in different methods as follows.
Given Input numbers are 105, 379, 361, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 379 :
The positive integer divisors of 379 that completely divides 379 are.
1, 379
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (105, 379, 361, 304) = 1.
Given numbers are 105, 379, 361, 304
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 379 are 379
Prime factors of 361 are 19 x 19
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 379, 361, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 379) = 39795
GCD(105, 379) = ( 105 x 379 ) / 39795
= 105 / 379
= 105
Step2:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
Step3:
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
= 1 / 304
= 1
So, Greatest Common Divisor of 105, 379, 361, 304 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 379, 361, 304
The greatest common divisor of numbers 105, 379, 361, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 379, 361, 304 is 1.
1. What is the GCD of 105, 379, 361, 304?
GCD of given numbers 105, 379, 361, 304 is 1
2. How to calculate the greatest common divisor of 105, 379, 361, 304?
We can find the highest common divisor of 105, 379, 361, 304 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 105, 379, 361, 304 i.e 1.
3. How can I use the GCD of 105, 379, 361, 304Calculator?
Out the numbers 105, 379, 361, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.