Online GCD Calculator is useful to find the GCD of 407, 133, 312 quickly. Get the easiest ways to solve the greatest common divisor of 407, 133, 312 i.e 1 in different methods as follows.
Given Input numbers are 407, 133, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (407, 133, 312) = 1.
Given numbers are 407, 133, 312
The list of prime factors of all numbers are
Prime factors of 407 are 11 x 37
Prime factors of 133 are 7 x 19
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 407, 133, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(407, 133) = 54131
GCD(407, 133) = ( 407 x 133 ) / 54131
= 407 / 133
= 407
Step2:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 407, 133, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 407, 133, 312
The greatest common divisor of numbers 407, 133, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 133, 312 is 1.
1. What is the GCD of 407, 133, 312?
GCD of given numbers 407, 133, 312 is 1
2. How to calculate the greatest common divisor of 407, 133, 312?
We can find the highest common divisor of 407, 133, 312 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 407, 133, 312 i.e 1.
3. How can I use the GCD of 407, 133, 312Calculator?
Out the numbers 407, 133, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.