Online GCD Calculator is useful to find the GCD of 362, 339, 105, 308 quickly. Get the easiest ways to solve the greatest common divisor of 362, 339, 105, 308 i.e 1 in different methods as follows.
Given Input numbers are 362, 339, 105, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (362, 339, 105, 308) = 1.
Given numbers are 362, 339, 105, 308
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 339 are 3 x 113
Prime factors of 105 are 3 x 5 x 7
Prime factors of 308 are 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 339, 105, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 339) = 122718
GCD(362, 339) = ( 362 x 339 ) / 122718
= 362 / 339
= 362
Step2:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
Step3:
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
= 1 / 308
= 1
So, Greatest Common Divisor of 362, 339, 105, 308 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 339, 105, 308
The greatest common divisor of numbers 362, 339, 105, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 339, 105, 308 is 1.
1. What is the GCD of 362, 339, 105, 308?
GCD of given numbers 362, 339, 105, 308 is 1
2. How to calculate the greatest common divisor of 362, 339, 105, 308?
We can find the highest common divisor of 362, 339, 105, 308 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 362, 339, 105, 308 i.e 1.
3. How can I use the GCD of 362, 339, 105, 308Calculator?
Out the numbers 362, 339, 105, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.