Online GCD Calculator is useful to find the GCD of 321, 189, 356, 320 quickly. Get the easiest ways to solve the greatest common divisor of 321, 189, 356, 320 i.e 1 in different methods as follows.
Given Input numbers are 321, 189, 356, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (321, 189, 356, 320) = 1.
Given numbers are 321, 189, 356, 320
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 356 are 2 x 2 x 89
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 321, 189, 356, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 189) = 20223
GCD(321, 189) = ( 321 x 189 ) / 20223
= 321 / 189
= 321
Step2:
LCM(3, 356) = 1068
GCD(3, 356) = ( 3 x 356 ) / 1068
= 3 / 356
= 3
Step3:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
So, Greatest Common Divisor of 321, 189, 356, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 189, 356, 320
The greatest common divisor of numbers 321, 189, 356, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 189, 356, 320 is 1.
1. What is the GCD of 321, 189, 356, 320?
GCD of given numbers 321, 189, 356, 320 is 1
2. How to calculate the greatest common divisor of 321, 189, 356, 320?
We can find the highest common divisor of 321, 189, 356, 320 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 321, 189, 356, 320 i.e 1.
3. How can I use the GCD of 321, 189, 356, 320Calculator?
Out the numbers 321, 189, 356, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.