Online GCD Calculator is useful to find the GCD of 990, 170, 292, 449 quickly. Get the easiest ways to solve the greatest common divisor of 990, 170, 292, 449 i.e 1 in different methods as follows.
Given Input numbers are 990, 170, 292, 449
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 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
GCD of numbers is the greatest common divisor
So, the GCD (990, 170, 292, 449) = 1.
Given numbers are 990, 170, 292, 449
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 170 are 2 x 5 x 17
Prime factors of 292 are 2 x 2 x 73
Prime factors of 449 are 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 170, 292, 449
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 170) = 16830
GCD(990, 170) = ( 990 x 170 ) / 16830
= 990 / 170
= 990
Step2:
LCM(10, 292) = 1460
GCD(10, 292) = ( 10 x 292 ) / 1460
= 10 / 292
= 10
Step3:
LCM(2, 449) = 898
GCD(2, 449) = ( 2 x 449 ) / 898
= 2 / 449
= 2
So, Greatest Common Divisor of 990, 170, 292, 449 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 170, 292, 449
The greatest common divisor of numbers 990, 170, 292, 449 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 170, 292, 449 is 1.
1. What is the GCD of 990, 170, 292, 449?
GCD of given numbers 990, 170, 292, 449 is 1
2. How to calculate the greatest common divisor of 990, 170, 292, 449?
We can find the highest common divisor of 990, 170, 292, 449 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, 170, 292, 449 i.e 1.
3. How can I use the GCD of 990, 170, 292, 449Calculator?
Out the numbers 990, 170, 292, 449 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.