Online GCD Calculator is useful to find the GCD of 200, 227, 360, 997 quickly. Get the easiest ways to solve the greatest common divisor of 200, 227, 360, 997 i.e 1 in different methods as follows.
Given Input numbers are 200, 227, 360, 997
In the factoring method, we have to find the divisors of all numbers
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 227 :
The positive integer divisors of 227 that completely divides 227 are.
1, 227
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 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (200, 227, 360, 997) = 1.
Given numbers are 200, 227, 360, 997
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 227 are 227
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 227, 360, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 227) = 45400
GCD(200, 227) = ( 200 x 227 ) / 45400
= 200 / 227
= 200
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 200, 227, 360, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 227, 360, 997
The greatest common divisor of numbers 200, 227, 360, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 227, 360, 997 is 1.
1. What is the GCD of 200, 227, 360, 997?
GCD of given numbers 200, 227, 360, 997 is 1
2. How to calculate the greatest common divisor of 200, 227, 360, 997?
We can find the highest common divisor of 200, 227, 360, 997 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 200, 227, 360, 997 i.e 1.
3. How can I use the GCD of 200, 227, 360, 997Calculator?
Out the numbers 200, 227, 360, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.