Online GCD Calculator is useful to find the GCD of 990, 345, 598 quickly. Get the easiest ways to solve the greatest common divisor of 990, 345, 598 i.e 1 in different methods as follows.
Given Input numbers are 990, 345, 598
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
GCD of numbers is the greatest common divisor
So, the GCD (990, 345, 598) = 1.
Given numbers are 990, 345, 598
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 345 are 3 x 5 x 23
Prime factors of 598 are 2 x 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 345, 598
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 345) = 22770
GCD(990, 345) = ( 990 x 345 ) / 22770
= 990 / 345
= 990
Step2:
LCM(15, 598) = 8970
GCD(15, 598) = ( 15 x 598 ) / 8970
= 15 / 598
= 15
So, Greatest Common Divisor of 990, 345, 598 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 345, 598
The greatest common divisor of numbers 990, 345, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 345, 598 is 1.
1. What is the GCD of 990, 345, 598?
GCD of given numbers 990, 345, 598 is 1
2. How to calculate the greatest common divisor of 990, 345, 598?
We can find the highest common divisor of 990, 345, 598 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 990, 345, 598 i.e 1.
3. How can I use the GCD of 990, 345, 598Calculator?
Out the numbers 990, 345, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.