Online GCD Calculator is useful to find the GCD of 563, 600, 189, 162 quickly. Get the easiest ways to solve the greatest common divisor of 563, 600, 189, 162 i.e 1 in different methods as follows.
Given Input numbers are 563, 600, 189, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 563 :
The positive integer divisors of 563 that completely divides 563 are.
1, 563
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (563, 600, 189, 162) = 1.
Given numbers are 563, 600, 189, 162
The list of prime factors of all numbers are
Prime factors of 563 are 563
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 563, 600, 189, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(563, 600) = 337800
GCD(563, 600) = ( 563 x 600 ) / 337800
= 563 / 600
= 563
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
= 1 / 162
= 1
So, Greatest Common Divisor of 563, 600, 189, 162 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 563, 600, 189, 162
The greatest common divisor of numbers 563, 600, 189, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 600, 189, 162 is 1.
1. What is the GCD of 563, 600, 189, 162?
GCD of given numbers 563, 600, 189, 162 is 1
2. How to calculate the greatest common divisor of 563, 600, 189, 162?
We can find the highest common divisor of 563, 600, 189, 162 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 563, 600, 189, 162 i.e 1.
3. How can I use the GCD of 563, 600, 189, 162Calculator?
Out the numbers 563, 600, 189, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.