Online GCD Calculator is useful to find the GCD of 990, 270, 981, 207 quickly. Get the easiest ways to solve the greatest common divisor of 990, 270, 981, 207 i.e 9 in different methods as follows.
Given Input numbers are 990, 270, 981, 207
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
GCD of numbers is the greatest common divisor
So, the GCD (990, 270, 981, 207) = 9.
Given numbers are 990, 270, 981, 207
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 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 981 are 3 x 3 x 109
Prime factors of 207 are 3 x 3 x 23
The highest common occurrence is 32
Therefore, GCD of 990, 270, 981, 207 is 9.
Given numbers are 990, 270, 981, 207
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 270) = 2970
GCD(990, 270) = ( 990 x 270 ) / 2970
= 990 / 270
= 990
Step2:
LCM(90, 981) = 9810
GCD(90, 981) = ( 90 x 981 ) / 9810
= 90 / 981
= 90
Step3:
LCM(9, 207) = 207
GCD(9, 207) = ( 9 x 207 ) / 207
= 9 / 207
= 9
So, Greatest Common Divisor of 990, 270, 981, 207 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 270, 981, 207
The greatest common divisor of numbers 990, 270, 981, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 270, 981, 207 is 9.
1. What is the GCD of 990, 270, 981, 207?
GCD of given numbers 990, 270, 981, 207 is 9
2. How to calculate the greatest common divisor of 990, 270, 981, 207?
We can find the highest common divisor of 990, 270, 981, 207 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, 270, 981, 207 i.e 9.
3. How can I use the GCD of 990, 270, 981, 207Calculator?
Out the numbers 990, 270, 981, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.