Online GCD Calculator is useful to find the GCD of 358, 416, 304, 105 quickly. Get the easiest ways to solve the greatest common divisor of 358, 416, 304, 105 i.e 1 in different methods as follows.
Given Input numbers are 358, 416, 304, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (358, 416, 304, 105) = 1.
Given numbers are 358, 416, 304, 105
The list of prime factors of all numbers are
Prime factors of 358 are 2 x 179
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 358, 416, 304, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(358, 416) = 74464
GCD(358, 416) = ( 358 x 416 ) / 74464
= 358 / 416
= 358
Step2:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
Step3:
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
= 2 / 105
= 2
So, Greatest Common Divisor of 358, 416, 304, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 358, 416, 304, 105
The greatest common divisor of numbers 358, 416, 304, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 416, 304, 105 is 1.
1. What is the GCD of 358, 416, 304, 105?
GCD of given numbers 358, 416, 304, 105 is 1
2. How to calculate the greatest common divisor of 358, 416, 304, 105?
We can find the highest common divisor of 358, 416, 304, 105 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 358, 416, 304, 105 i.e 1.
3. How can I use the GCD of 358, 416, 304, 105Calculator?
Out the numbers 358, 416, 304, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.