Online GCD Calculator is useful to find the GCD of 345, 660, 829, 329 quickly. Get the easiest ways to solve the greatest common divisor of 345, 660, 829, 329 i.e 1 in different methods as follows.
Given Input numbers are 345, 660, 829, 329
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
GCD of numbers is the greatest common divisor
So, the GCD (345, 660, 829, 329) = 1.
Given numbers are 345, 660, 829, 329
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 829 are 829
Prime factors of 329 are 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 660, 829, 329
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 660) = 15180
GCD(345, 660) = ( 345 x 660 ) / 15180
= 345 / 660
= 345
Step2:
LCM(15, 829) = 12435
GCD(15, 829) = ( 15 x 829 ) / 12435
= 15 / 829
= 15
Step3:
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
= 1 / 329
= 1
So, Greatest Common Divisor of 345, 660, 829, 329 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 660, 829, 329
The greatest common divisor of numbers 345, 660, 829, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 660, 829, 329 is 1.
1. What is the GCD of 345, 660, 829, 329?
GCD of given numbers 345, 660, 829, 329 is 1
2. How to calculate the greatest common divisor of 345, 660, 829, 329?
We can find the highest common divisor of 345, 660, 829, 329 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 345, 660, 829, 329 i.e 1.
3. How can I use the GCD of 345, 660, 829, 329Calculator?
Out the numbers 345, 660, 829, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.