Online GCD Calculator is useful to find the GCD of 189, 627, 112, 717 quickly. Get the easiest ways to solve the greatest common divisor of 189, 627, 112, 717 i.e 1 in different methods as follows.
Given Input numbers are 189, 627, 112, 717
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (189, 627, 112, 717) = 1.
Given numbers are 189, 627, 112, 717
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 627 are 3 x 11 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 717 are 3 x 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 627, 112, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 627) = 39501
GCD(189, 627) = ( 189 x 627 ) / 39501
= 189 / 627
= 189
Step2:
LCM(3, 112) = 336
GCD(3, 112) = ( 3 x 112 ) / 336
= 3 / 112
= 3
Step3:
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
= 1 / 717
= 1
So, Greatest Common Divisor of 189, 627, 112, 717 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 627, 112, 717
The greatest common divisor of numbers 189, 627, 112, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 627, 112, 717 is 1.
1. What is the GCD of 189, 627, 112, 717?
GCD of given numbers 189, 627, 112, 717 is 1
2. How to calculate the greatest common divisor of 189, 627, 112, 717?
We can find the highest common divisor of 189, 627, 112, 717 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 189, 627, 112, 717 i.e 1.
3. How can I use the GCD of 189, 627, 112, 717Calculator?
Out the numbers 189, 627, 112, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.