Online GCD Calculator is useful to find the GCD of 687, 684, 604, 344 quickly. Get the easiest ways to solve the greatest common divisor of 687, 684, 604, 344 i.e 1 in different methods as follows.
Given Input numbers are 687, 684, 604, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (687, 684, 604, 344) = 1.
Given numbers are 687, 684, 604, 344
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 604 are 2 x 2 x 151
Prime factors of 344 are 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 684, 604, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 684) = 156636
GCD(687, 684) = ( 687 x 684 ) / 156636
= 687 / 684
= 687
Step2:
LCM(3, 604) = 1812
GCD(3, 604) = ( 3 x 604 ) / 1812
= 3 / 604
= 3
Step3:
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
= 1 / 344
= 1
So, Greatest Common Divisor of 687, 684, 604, 344 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 684, 604, 344
The greatest common divisor of numbers 687, 684, 604, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 684, 604, 344 is 1.
1. What is the GCD of 687, 684, 604, 344?
GCD of given numbers 687, 684, 604, 344 is 1
2. How to calculate the greatest common divisor of 687, 684, 604, 344?
We can find the highest common divisor of 687, 684, 604, 344 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 687, 684, 604, 344 i.e 1.
3. How can I use the GCD of 687, 684, 604, 344Calculator?
Out the numbers 687, 684, 604, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.