Online GCD Calculator is useful to find the GCD of 207, 222, 990, 243 quickly. Get the easiest ways to solve the greatest common divisor of 207, 222, 990, 243 i.e 3 in different methods as follows.
Given Input numbers are 207, 222, 990, 243
In the factoring method, we have to find the divisors of all numbers
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
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 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (207, 222, 990, 243) = 3.
Given numbers are 207, 222, 990, 243
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 222 are 2 x 3 x 37
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 207, 222, 990, 243 is 3.
Given numbers are 207, 222, 990, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 222) = 15318
GCD(207, 222) = ( 207 x 222 ) / 15318
= 207 / 222
= 207
Step2:
LCM(3, 990) = 990
GCD(3, 990) = ( 3 x 990 ) / 990
= 3 / 990
= 3
Step3:
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
= 3 / 243
= 3
So, Greatest Common Divisor of 207, 222, 990, 243 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 207, 222, 990, 243
The greatest common divisor of numbers 207, 222, 990, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 222, 990, 243 is 3.
1. What is the GCD of 207, 222, 990, 243?
GCD of given numbers 207, 222, 990, 243 is 3
2. How to calculate the greatest common divisor of 207, 222, 990, 243?
We can find the highest common divisor of 207, 222, 990, 243 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 207, 222, 990, 243 i.e 3.
3. How can I use the GCD of 207, 222, 990, 243Calculator?
Out the numbers 207, 222, 990, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.