Online GCD Calculator is useful to find the GCD of 585, 838, 757, 990 quickly. Get the easiest ways to solve the greatest common divisor of 585, 838, 757, 990 i.e 1 in different methods as follows.
Given Input numbers are 585, 838, 757, 990
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 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 757 :
The positive integer divisors of 757 that completely divides 757 are.
1, 757
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (585, 838, 757, 990) = 1.
Given numbers are 585, 838, 757, 990
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 838 are 2 x 419
Prime factors of 757 are 757
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 838, 757, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 838) = 490230
GCD(585, 838) = ( 585 x 838 ) / 490230
= 585 / 838
= 585
Step2:
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
= 1 / 757
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 585, 838, 757, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 838, 757, 990
The greatest common divisor of numbers 585, 838, 757, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 838, 757, 990 is 1.
1. What is the GCD of 585, 838, 757, 990?
GCD of given numbers 585, 838, 757, 990 is 1
2. How to calculate the greatest common divisor of 585, 838, 757, 990?
We can find the highest common divisor of 585, 838, 757, 990 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, 838, 757, 990 i.e 1.
3. How can I use the GCD of 585, 838, 757, 990Calculator?
Out the numbers 585, 838, 757, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.