Online GCD Calculator is useful to find the GCD of 990, 564, 329, 492 quickly. Get the easiest ways to solve the greatest common divisor of 990, 564, 329, 492 i.e 1 in different methods as follows.
Given Input numbers are 990, 564, 329, 492
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (990, 564, 329, 492) = 1.
Given numbers are 990, 564, 329, 492
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 564 are 2 x 2 x 3 x 47
Prime factors of 329 are 7 x 47
Prime factors of 492 are 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 564, 329, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 564) = 93060
GCD(990, 564) = ( 990 x 564 ) / 93060
= 990 / 564
= 990
Step2:
LCM(6, 329) = 1974
GCD(6, 329) = ( 6 x 329 ) / 1974
= 6 / 329
= 6
Step3:
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
= 1 / 492
= 1
So, Greatest Common Divisor of 990, 564, 329, 492 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 564, 329, 492
The greatest common divisor of numbers 990, 564, 329, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 564, 329, 492 is 1.
1. What is the GCD of 990, 564, 329, 492?
GCD of given numbers 990, 564, 329, 492 is 1
2. How to calculate the greatest common divisor of 990, 564, 329, 492?
We can find the highest common divisor of 990, 564, 329, 492 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, 564, 329, 492 i.e 1.
3. How can I use the GCD of 990, 564, 329, 492Calculator?
Out the numbers 990, 564, 329, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.