Online GCD Calculator is useful to find the GCD of 204, 660, 249, 201 quickly. Get the easiest ways to solve the greatest common divisor of 204, 660, 249, 201 i.e 3 in different methods as follows.
Given Input numbers are 204, 660, 249, 201
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (204, 660, 249, 201) = 3.
Given numbers are 204, 660, 249, 201
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 249 are 3 x 83
Prime factors of 201 are 3 x 67
The highest common occurrence is 31
Therefore, GCD of 204, 660, 249, 201 is 3.
Given numbers are 204, 660, 249, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 660) = 11220
GCD(204, 660) = ( 204 x 660 ) / 11220
= 204 / 660
= 204
Step2:
LCM(12, 249) = 996
GCD(12, 249) = ( 12 x 249 ) / 996
= 12 / 249
= 12
Step3:
LCM(3, 201) = 201
GCD(3, 201) = ( 3 x 201 ) / 201
= 3 / 201
= 3
So, Greatest Common Divisor of 204, 660, 249, 201 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 660, 249, 201
The greatest common divisor of numbers 204, 660, 249, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 660, 249, 201 is 3.
1. What is the GCD of 204, 660, 249, 201?
GCD of given numbers 204, 660, 249, 201 is 3
2. How to calculate the greatest common divisor of 204, 660, 249, 201?
We can find the highest common divisor of 204, 660, 249, 201 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 204, 660, 249, 201 i.e 3.
3. How can I use the GCD of 204, 660, 249, 201Calculator?
Out the numbers 204, 660, 249, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.