Online GCD Calculator is useful to find the GCD of 180, 897, 344, 322 quickly. Get the easiest ways to solve the greatest common divisor of 180, 897, 344, 322 i.e 1 in different methods as follows.
Given Input numbers are 180, 897, 344, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (180, 897, 344, 322) = 1.
Given numbers are 180, 897, 344, 322
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 897 are 3 x 13 x 23
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 322 are 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 897, 344, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 897) = 53820
GCD(180, 897) = ( 180 x 897 ) / 53820
= 180 / 897
= 180
Step2:
LCM(3, 344) = 1032
GCD(3, 344) = ( 3 x 344 ) / 1032
= 3 / 344
= 3
Step3:
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
= 1 / 322
= 1
So, Greatest Common Divisor of 180, 897, 344, 322 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 897, 344, 322
The greatest common divisor of numbers 180, 897, 344, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 897, 344, 322 is 1.
1. What is the GCD of 180, 897, 344, 322?
GCD of given numbers 180, 897, 344, 322 is 1
2. How to calculate the greatest common divisor of 180, 897, 344, 322?
We can find the highest common divisor of 180, 897, 344, 322 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 180, 897, 344, 322 i.e 1.
3. How can I use the GCD of 180, 897, 344, 322Calculator?
Out the numbers 180, 897, 344, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.