Online GCD Calculator is useful to find the GCD of 105, 361, 995, 909 quickly. Get the easiest ways to solve the greatest common divisor of 105, 361, 995, 909 i.e 1 in different methods as follows.
Given Input numbers are 105, 361, 995, 909
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 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 995 :
The positive integer divisors of 995 that completely divides 995 are.
1, 5, 199, 995
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (105, 361, 995, 909) = 1.
Given numbers are 105, 361, 995, 909
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 361 are 19 x 19
Prime factors of 995 are 5 x 199
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 361, 995, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 361) = 37905
GCD(105, 361) = ( 105 x 361 ) / 37905
= 105 / 361
= 105
Step2:
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
= 1 / 995
= 1
Step3:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 105, 361, 995, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 361, 995, 909
The greatest common divisor of numbers 105, 361, 995, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 361, 995, 909 is 1.
1. What is the GCD of 105, 361, 995, 909?
GCD of given numbers 105, 361, 995, 909 is 1
2. How to calculate the greatest common divisor of 105, 361, 995, 909?
We can find the highest common divisor of 105, 361, 995, 909 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, 361, 995, 909 i.e 1.
3. How can I use the GCD of 105, 361, 995, 909Calculator?
Out the numbers 105, 361, 995, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.