Online GCD Calculator is useful to find the GCD of 123, 576, 993, 563 quickly. Get the easiest ways to solve the greatest common divisor of 123, 576, 993, 563 i.e 1 in different methods as follows.
Given Input numbers are 123, 576, 993, 563
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 563 :
The positive integer divisors of 563 that completely divides 563 are.
1, 563
GCD of numbers is the greatest common divisor
So, the GCD (123, 576, 993, 563) = 1.
Given numbers are 123, 576, 993, 563
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 993 are 3 x 331
Prime factors of 563 are 563
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 576, 993, 563
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 576) = 23616
GCD(123, 576) = ( 123 x 576 ) / 23616
= 123 / 576
= 123
Step2:
LCM(3, 993) = 993
GCD(3, 993) = ( 3 x 993 ) / 993
= 3 / 993
= 3
Step3:
LCM(3, 563) = 1689
GCD(3, 563) = ( 3 x 563 ) / 1689
= 3 / 563
= 3
So, Greatest Common Divisor of 123, 576, 993, 563 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 576, 993, 563
The greatest common divisor of numbers 123, 576, 993, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 576, 993, 563 is 1.
1. What is the GCD of 123, 576, 993, 563?
GCD of given numbers 123, 576, 993, 563 is 1
2. How to calculate the greatest common divisor of 123, 576, 993, 563?
We can find the highest common divisor of 123, 576, 993, 563 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 123, 576, 993, 563 i.e 1.
3. How can I use the GCD of 123, 576, 993, 563Calculator?
Out the numbers 123, 576, 993, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.