Online GCD Calculator is useful to find the GCD of 461, 723, 380 quickly. Get the easiest ways to solve the greatest common divisor of 461, 723, 380 i.e 1 in different methods as follows.
Given Input numbers are 461, 723, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (461, 723, 380) = 1.
Given numbers are 461, 723, 380
The list of prime factors of all numbers are
Prime factors of 461 are 461
Prime factors of 723 are 3 x 241
Prime factors of 380 are 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 461, 723, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(461, 723) = 333303
GCD(461, 723) = ( 461 x 723 ) / 333303
= 461 / 723
= 461
Step2:
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
= 1 / 380
= 1
So, Greatest Common Divisor of 461, 723, 380 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 461, 723, 380
The greatest common divisor of numbers 461, 723, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 723, 380 is 1.
1. What is the GCD of 461, 723, 380?
GCD of given numbers 461, 723, 380 is 1
2. How to calculate the greatest common divisor of 461, 723, 380?
We can find the highest common divisor of 461, 723, 380 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 461, 723, 380 i.e 1.
3. How can I use the GCD of 461, 723, 380Calculator?
Out the numbers 461, 723, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.