Online GCD Calculator is useful to find the GCD of 146, 369, 809, 314 quickly. Get the easiest ways to solve the greatest common divisor of 146, 369, 809, 314 i.e 1 in different methods as follows.
Given Input numbers are 146, 369, 809, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (146, 369, 809, 314) = 1.
Given numbers are 146, 369, 809, 314
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 369 are 3 x 3 x 41
Prime factors of 809 are 809
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 146, 369, 809, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 369) = 53874
GCD(146, 369) = ( 146 x 369 ) / 53874
= 146 / 369
= 146
Step2:
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
= 1 / 809
= 1
Step3:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 146, 369, 809, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 369, 809, 314
The greatest common divisor of numbers 146, 369, 809, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 369, 809, 314 is 1.
1. What is the GCD of 146, 369, 809, 314?
GCD of given numbers 146, 369, 809, 314 is 1
2. How to calculate the greatest common divisor of 146, 369, 809, 314?
We can find the highest common divisor of 146, 369, 809, 314 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 146, 369, 809, 314 i.e 1.
3. How can I use the GCD of 146, 369, 809, 314Calculator?
Out the numbers 146, 369, 809, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.