Online GCD Calculator is useful to find the GCD of 936, 396, 45, 483 quickly. Get the easiest ways to solve the greatest common divisor of 936, 396, 45, 483 i.e 3 in different methods as follows.
Given Input numbers are 936, 396, 45, 483
In the factoring method, we have to find the divisors of all numbers
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
GCD of numbers is the greatest common divisor
So, the GCD (936, 396, 45, 483) = 3.
Given numbers are 936, 396, 45, 483
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 45 are 3 x 3 x 5
Prime factors of 483 are 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 936, 396, 45, 483 is 3.
Given numbers are 936, 396, 45, 483
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 396) = 10296
GCD(936, 396) = ( 936 x 396 ) / 10296
= 936 / 396
= 936
Step2:
LCM(36, 45) = 180
GCD(36, 45) = ( 36 x 45 ) / 180
= 36 / 45
= 36
Step3:
LCM(9, 483) = 1449
GCD(9, 483) = ( 9 x 483 ) / 1449
= 9 / 483
= 9
So, Greatest Common Divisor of 936, 396, 45, 483 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 396, 45, 483
The greatest common divisor of numbers 936, 396, 45, 483 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 396, 45, 483 is 3.
1. What is the GCD of 936, 396, 45, 483?
GCD of given numbers 936, 396, 45, 483 is 3
2. How to calculate the greatest common divisor of 936, 396, 45, 483?
We can find the highest common divisor of 936, 396, 45, 483 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 936, 396, 45, 483 i.e 3.
3. How can I use the GCD of 936, 396, 45, 483Calculator?
Out the numbers 936, 396, 45, 483 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.