Online GCD Calculator is useful to find the GCD of 329, 305, 660, 172 quickly. Get the easiest ways to solve the greatest common divisor of 329, 305, 660, 172 i.e 1 in different methods as follows.
Given Input numbers are 329, 305, 660, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (329, 305, 660, 172) = 1.
Given numbers are 329, 305, 660, 172
The list of prime factors of all numbers are
Prime factors of 329 are 7 x 47
Prime factors of 305 are 5 x 61
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 329, 305, 660, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(329, 305) = 100345
GCD(329, 305) = ( 329 x 305 ) / 100345
= 329 / 305
= 329
Step2:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 329, 305, 660, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 329, 305, 660, 172
The greatest common divisor of numbers 329, 305, 660, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 305, 660, 172 is 1.
1. What is the GCD of 329, 305, 660, 172?
GCD of given numbers 329, 305, 660, 172 is 1
2. How to calculate the greatest common divisor of 329, 305, 660, 172?
We can find the highest common divisor of 329, 305, 660, 172 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 329, 305, 660, 172 i.e 1.
3. How can I use the GCD of 329, 305, 660, 172Calculator?
Out the numbers 329, 305, 660, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.