Online GCD Calculator is useful to find the GCD of 990, 345, 844, 221 quickly. Get the easiest ways to solve the greatest common divisor of 990, 345, 844, 221 i.e 1 in different methods as follows.
Given Input numbers are 990, 345, 844, 221
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 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (990, 345, 844, 221) = 1.
Given numbers are 990, 345, 844, 221
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 844 are 2 x 2 x 211
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 345, 844, 221
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, 844) = 12660
GCD(15, 844) = ( 15 x 844 ) / 12660
= 15 / 844
= 15
Step3:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
So, Greatest Common Divisor of 990, 345, 844, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 345, 844, 221
The greatest common divisor of numbers 990, 345, 844, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 345, 844, 221 is 1.
1. What is the GCD of 990, 345, 844, 221?
GCD of given numbers 990, 345, 844, 221 is 1
2. How to calculate the greatest common divisor of 990, 345, 844, 221?
We can find the highest common divisor of 990, 345, 844, 221 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, 844, 221 i.e 1.
3. How can I use the GCD of 990, 345, 844, 221Calculator?
Out the numbers 990, 345, 844, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.