Online GCD Calculator is useful to find the GCD of 422, 180, 569, 643 quickly. Get the easiest ways to solve the greatest common divisor of 422, 180, 569, 643 i.e 1 in different methods as follows.
Given Input numbers are 422, 180, 569, 643
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
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 569 :
The positive integer divisors of 569 that completely divides 569 are.
1, 569
Divisors of 643 :
The positive integer divisors of 643 that completely divides 643 are.
1, 643
GCD of numbers is the greatest common divisor
So, the GCD (422, 180, 569, 643) = 1.
Given numbers are 422, 180, 569, 643
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 569 are 569
Prime factors of 643 are 643
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 180, 569, 643
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 180) = 37980
GCD(422, 180) = ( 422 x 180 ) / 37980
= 422 / 180
= 422
Step2:
LCM(2, 569) = 1138
GCD(2, 569) = ( 2 x 569 ) / 1138
= 2 / 569
= 2
Step3:
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
= 1 / 643
= 1
So, Greatest Common Divisor of 422, 180, 569, 643 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 180, 569, 643
The greatest common divisor of numbers 422, 180, 569, 643 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 180, 569, 643 is 1.
1. What is the GCD of 422, 180, 569, 643?
GCD of given numbers 422, 180, 569, 643 is 1
2. How to calculate the greatest common divisor of 422, 180, 569, 643?
We can find the highest common divisor of 422, 180, 569, 643 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 422, 180, 569, 643 i.e 1.
3. How can I use the GCD of 422, 180, 569, 643Calculator?
Out the numbers 422, 180, 569, 643 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.