Online GCD Calculator is useful to find the GCD of 993, 219, 198, 821 quickly. Get the easiest ways to solve the greatest common divisor of 993, 219, 198, 821 i.e 1 in different methods as follows.
Given Input numbers are 993, 219, 198, 821
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (993, 219, 198, 821) = 1.
Given numbers are 993, 219, 198, 821
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 219 are 3 x 73
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 993, 219, 198, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 219) = 72489
GCD(993, 219) = ( 993 x 219 ) / 72489
= 993 / 219
= 993
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 821) = 2463
GCD(3, 821) = ( 3 x 821 ) / 2463
= 3 / 821
= 3
So, Greatest Common Divisor of 993, 219, 198, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 219, 198, 821
The greatest common divisor of numbers 993, 219, 198, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 219, 198, 821 is 1.
1. What is the GCD of 993, 219, 198, 821?
GCD of given numbers 993, 219, 198, 821 is 1
2. How to calculate the greatest common divisor of 993, 219, 198, 821?
We can find the highest common divisor of 993, 219, 198, 821 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 993, 219, 198, 821 i.e 1.
3. How can I use the GCD of 993, 219, 198, 821Calculator?
Out the numbers 993, 219, 198, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.