Online GCD Calculator is useful to find the GCD of 522, 289, 200, 173 quickly. Get the easiest ways to solve the greatest common divisor of 522, 289, 200, 173 i.e 1 in different methods as follows.
Given Input numbers are 522, 289, 200, 173
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 173 :
The positive integer divisors of 173 that completely divides 173 are.
1, 173
GCD of numbers is the greatest common divisor
So, the GCD (522, 289, 200, 173) = 1.
Given numbers are 522, 289, 200, 173
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 289 are 17 x 17
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 173 are 173
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 522, 289, 200, 173
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 289) = 150858
GCD(522, 289) = ( 522 x 289 ) / 150858
= 522 / 289
= 522
Step2:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
Step3:
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
= 1 / 173
= 1
So, Greatest Common Divisor of 522, 289, 200, 173 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 289, 200, 173
The greatest common divisor of numbers 522, 289, 200, 173 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 289, 200, 173 is 1.
1. What is the GCD of 522, 289, 200, 173?
GCD of given numbers 522, 289, 200, 173 is 1
2. How to calculate the greatest common divisor of 522, 289, 200, 173?
We can find the highest common divisor of 522, 289, 200, 173 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 522, 289, 200, 173 i.e 1.
3. How can I use the GCD of 522, 289, 200, 173Calculator?
Out the numbers 522, 289, 200, 173 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.