Online GCD Calculator is useful to find the GCD of 360, 981, 633, 204 quickly. Get the easiest ways to solve the greatest common divisor of 360, 981, 633, 204 i.e 3 in different methods as follows.
Given Input numbers are 360, 981, 633, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
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
GCD of numbers is the greatest common divisor
So, the GCD (360, 981, 633, 204) = 3.
Given numbers are 360, 981, 633, 204
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 981 are 3 x 3 x 109
Prime factors of 633 are 3 x 211
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 360, 981, 633, 204 is 3.
Given numbers are 360, 981, 633, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 981) = 39240
GCD(360, 981) = ( 360 x 981 ) / 39240
= 360 / 981
= 360
Step2:
LCM(9, 633) = 1899
GCD(9, 633) = ( 9 x 633 ) / 1899
= 9 / 633
= 9
Step3:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
So, Greatest Common Divisor of 360, 981, 633, 204 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 981, 633, 204
The greatest common divisor of numbers 360, 981, 633, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 981, 633, 204 is 3.
1. What is the GCD of 360, 981, 633, 204?
GCD of given numbers 360, 981, 633, 204 is 3
2. How to calculate the greatest common divisor of 360, 981, 633, 204?
We can find the highest common divisor of 360, 981, 633, 204 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 360, 981, 633, 204 i.e 3.
3. How can I use the GCD of 360, 981, 633, 204Calculator?
Out the numbers 360, 981, 633, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.