Online GCD Calculator is useful to find the GCD of 585, 137, 706, 345 quickly. Get the easiest ways to solve the greatest common divisor of 585, 137, 706, 345 i.e 1 in different methods as follows.
Given Input numbers are 585, 137, 706, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (585, 137, 706, 345) = 1.
Given numbers are 585, 137, 706, 345
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 137 are 137
Prime factors of 706 are 2 x 353
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 137, 706, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 137) = 80145
GCD(585, 137) = ( 585 x 137 ) / 80145
= 585 / 137
= 585
Step2:
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
= 1 / 706
= 1
Step3:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
So, Greatest Common Divisor of 585, 137, 706, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 137, 706, 345
The greatest common divisor of numbers 585, 137, 706, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 137, 706, 345 is 1.
1. What is the GCD of 585, 137, 706, 345?
GCD of given numbers 585, 137, 706, 345 is 1
2. How to calculate the greatest common divisor of 585, 137, 706, 345?
We can find the highest common divisor of 585, 137, 706, 345 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 585, 137, 706, 345 i.e 1.
3. How can I use the GCD of 585, 137, 706, 345Calculator?
Out the numbers 585, 137, 706, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.