Online GCD Calculator is useful to find the GCD of 105, 133, 401, 745 quickly. Get the easiest ways to solve the greatest common divisor of 105, 133, 401, 745 i.e 1 in different methods as follows.
Given Input numbers are 105, 133, 401, 745
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 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 401 :
The positive integer divisors of 401 that completely divides 401 are.
1, 401
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (105, 133, 401, 745) = 1.
Given numbers are 105, 133, 401, 745
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 133 are 7 x 19
Prime factors of 401 are 401
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 133, 401, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 133) = 1995
GCD(105, 133) = ( 105 x 133 ) / 1995
= 105 / 133
= 105
Step2:
LCM(7, 401) = 2807
GCD(7, 401) = ( 7 x 401 ) / 2807
= 7 / 401
= 7
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 105, 133, 401, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 133, 401, 745
The greatest common divisor of numbers 105, 133, 401, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 133, 401, 745 is 1.
1. What is the GCD of 105, 133, 401, 745?
GCD of given numbers 105, 133, 401, 745 is 1
2. How to calculate the greatest common divisor of 105, 133, 401, 745?
We can find the highest common divisor of 105, 133, 401, 745 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, 133, 401, 745 i.e 1.
3. How can I use the GCD of 105, 133, 401, 745Calculator?
Out the numbers 105, 133, 401, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.