Online GCD Calculator is useful to find the GCD of 199, 360, 814, 563 quickly. Get the easiest ways to solve the greatest common divisor of 199, 360, 814, 563 i.e 1 in different methods as follows.
Given Input numbers are 199, 360, 814, 563
In the factoring method, we have to find the divisors of all numbers
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
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 (199, 360, 814, 563) = 1.
Given numbers are 199, 360, 814, 563
The list of prime factors of all numbers are
Prime factors of 199 are 199
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 814 are 2 x 11 x 37
Prime factors of 563 are 563
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 199, 360, 814, 563
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(199, 360) = 71640
GCD(199, 360) = ( 199 x 360 ) / 71640
= 199 / 360
= 199
Step2:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
Step3:
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
= 1 / 563
= 1
So, Greatest Common Divisor of 199, 360, 814, 563 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 199, 360, 814, 563
The greatest common divisor of numbers 199, 360, 814, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 360, 814, 563 is 1.
1. What is the GCD of 199, 360, 814, 563?
GCD of given numbers 199, 360, 814, 563 is 1
2. How to calculate the greatest common divisor of 199, 360, 814, 563?
We can find the highest common divisor of 199, 360, 814, 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 199, 360, 814, 563 i.e 1.
3. How can I use the GCD of 199, 360, 814, 563Calculator?
Out the numbers 199, 360, 814, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.