Online GCD Calculator is useful to find the GCD of 105, 355, 112, 459 quickly. Get the easiest ways to solve the greatest common divisor of 105, 355, 112, 459 i.e 1 in different methods as follows.
Given Input numbers are 105, 355, 112, 459
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 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (105, 355, 112, 459) = 1.
Given numbers are 105, 355, 112, 459
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 355 are 5 x 71
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 459 are 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 355, 112, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 355) = 7455
GCD(105, 355) = ( 105 x 355 ) / 7455
= 105 / 355
= 105
Step2:
LCM(5, 112) = 560
GCD(5, 112) = ( 5 x 112 ) / 560
= 5 / 112
= 5
Step3:
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
= 1 / 459
= 1
So, Greatest Common Divisor of 105, 355, 112, 459 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 355, 112, 459
The greatest common divisor of numbers 105, 355, 112, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 355, 112, 459 is 1.
1. What is the GCD of 105, 355, 112, 459?
GCD of given numbers 105, 355, 112, 459 is 1
2. How to calculate the greatest common divisor of 105, 355, 112, 459?
We can find the highest common divisor of 105, 355, 112, 459 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, 355, 112, 459 i.e 1.
3. How can I use the GCD of 105, 355, 112, 459Calculator?
Out the numbers 105, 355, 112, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.