Online GCD Calculator is useful to find the GCD of 585, 354, 104, 829 quickly. Get the easiest ways to solve the greatest common divisor of 585, 354, 104, 829 i.e 1 in different methods as follows.
Given Input numbers are 585, 354, 104, 829
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 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
GCD of numbers is the greatest common divisor
So, the GCD (585, 354, 104, 829) = 1.
Given numbers are 585, 354, 104, 829
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 354 are 2 x 3 x 59
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 829 are 829
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 354, 104, 829
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 354) = 69030
GCD(585, 354) = ( 585 x 354 ) / 69030
= 585 / 354
= 585
Step2:
LCM(3, 104) = 312
GCD(3, 104) = ( 3 x 104 ) / 312
= 3 / 104
= 3
Step3:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
So, Greatest Common Divisor of 585, 354, 104, 829 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 354, 104, 829
The greatest common divisor of numbers 585, 354, 104, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 354, 104, 829 is 1.
1. What is the GCD of 585, 354, 104, 829?
GCD of given numbers 585, 354, 104, 829 is 1
2. How to calculate the greatest common divisor of 585, 354, 104, 829?
We can find the highest common divisor of 585, 354, 104, 829 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, 354, 104, 829 i.e 1.
3. How can I use the GCD of 585, 354, 104, 829Calculator?
Out the numbers 585, 354, 104, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.