Online GCD Calculator is useful to find the GCD of 207, 657, 990, 855 quickly. Get the easiest ways to solve the greatest common divisor of 207, 657, 990, 855 i.e 9 in different methods as follows.
Given Input numbers are 207, 657, 990, 855
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 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (207, 657, 990, 855) = 9.
Given numbers are 207, 657, 990, 855
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 657 are 3 x 3 x 73
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 855 are 3 x 3 x 5 x 19
The highest common occurrence is 32
Therefore, GCD of 207, 657, 990, 855 is 9.
Given numbers are 207, 657, 990, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 657) = 15111
GCD(207, 657) = ( 207 x 657 ) / 15111
= 207 / 657
= 207
Step2:
LCM(9, 990) = 990
GCD(9, 990) = ( 9 x 990 ) / 990
= 9 / 990
= 9
Step3:
LCM(9, 855) = 855
GCD(9, 855) = ( 9 x 855 ) / 855
= 9 / 855
= 9
So, Greatest Common Divisor of 207, 657, 990, 855 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 207, 657, 990, 855
The greatest common divisor of numbers 207, 657, 990, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 657, 990, 855 is 9.
1. What is the GCD of 207, 657, 990, 855?
GCD of given numbers 207, 657, 990, 855 is 9
2. How to calculate the greatest common divisor of 207, 657, 990, 855?
We can find the highest common divisor of 207, 657, 990, 855 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, 657, 990, 855 i.e 9.
3. How can I use the GCD of 207, 657, 990, 855Calculator?
Out the numbers 207, 657, 990, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.