Online GCD Calculator is useful to find the GCD of 998, 660, 493, 324 quickly. Get the easiest ways to solve the greatest common divisor of 998, 660, 493, 324 i.e 1 in different methods as follows.
Given Input numbers are 998, 660, 493, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (998, 660, 493, 324) = 1.
Given numbers are 998, 660, 493, 324
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 493 are 17 x 29
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 660, 493, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 660) = 329340
GCD(998, 660) = ( 998 x 660 ) / 329340
= 998 / 660
= 998
Step2:
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
= 2 / 493
= 2
Step3:
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
= 1 / 324
= 1
So, Greatest Common Divisor of 998, 660, 493, 324 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 660, 493, 324
The greatest common divisor of numbers 998, 660, 493, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 660, 493, 324 is 1.
1. What is the GCD of 998, 660, 493, 324?
GCD of given numbers 998, 660, 493, 324 is 1
2. How to calculate the greatest common divisor of 998, 660, 493, 324?
We can find the highest common divisor of 998, 660, 493, 324 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 998, 660, 493, 324 i.e 1.
3. How can I use the GCD of 998, 660, 493, 324Calculator?
Out the numbers 998, 660, 493, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.