Online GCD Calculator is useful to find the GCD of 318, 189, 223, 687 quickly. Get the easiest ways to solve the greatest common divisor of 318, 189, 223, 687 i.e 1 in different methods as follows.
Given Input numbers are 318, 189, 223, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 223 :
The positive integer divisors of 223 that completely divides 223 are.
1, 223
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (318, 189, 223, 687) = 1.
Given numbers are 318, 189, 223, 687
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 223 are 223
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 318, 189, 223, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 189) = 20034
GCD(318, 189) = ( 318 x 189 ) / 20034
= 318 / 189
= 318
Step2:
LCM(3, 223) = 669
GCD(3, 223) = ( 3 x 223 ) / 669
= 3 / 223
= 3
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 318, 189, 223, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 189, 223, 687
The greatest common divisor of numbers 318, 189, 223, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 189, 223, 687 is 1.
1. What is the GCD of 318, 189, 223, 687?
GCD of given numbers 318, 189, 223, 687 is 1
2. How to calculate the greatest common divisor of 318, 189, 223, 687?
We can find the highest common divisor of 318, 189, 223, 687 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 318, 189, 223, 687 i.e 1.
3. How can I use the GCD of 318, 189, 223, 687Calculator?
Out the numbers 318, 189, 223, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.