Online GCD Calculator is useful to find the GCD of 417, 396, 72, 933 quickly. Get the easiest ways to solve the greatest common divisor of 417, 396, 72, 933 i.e 3 in different methods as follows.
Given Input numbers are 417, 396, 72, 933
In the factoring method, we have to find the divisors of all numbers
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
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 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 933 :
The positive integer divisors of 933 that completely divides 933 are.
1, 3, 311, 933
GCD of numbers is the greatest common divisor
So, the GCD (417, 396, 72, 933) = 3.
Given numbers are 417, 396, 72, 933
The list of prime factors of all numbers are
Prime factors of 417 are 3 x 139
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 933 are 3 x 311
The highest common occurrence is 31
Therefore, GCD of 417, 396, 72, 933 is 3.
Given numbers are 417, 396, 72, 933
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(417, 396) = 55044
GCD(417, 396) = ( 417 x 396 ) / 55044
= 417 / 396
= 417
Step2:
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
= 3 / 72
= 3
Step3:
LCM(3, 933) = 933
GCD(3, 933) = ( 3 x 933 ) / 933
= 3 / 933
= 3
So, Greatest Common Divisor of 417, 396, 72, 933 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 417, 396, 72, 933
The greatest common divisor of numbers 417, 396, 72, 933 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 417, 396, 72, 933 is 3.
1. What is the GCD of 417, 396, 72, 933?
GCD of given numbers 417, 396, 72, 933 is 3
2. How to calculate the greatest common divisor of 417, 396, 72, 933?
We can find the highest common divisor of 417, 396, 72, 933 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 417, 396, 72, 933 i.e 3.
3. How can I use the GCD of 417, 396, 72, 933Calculator?
Out the numbers 417, 396, 72, 933 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.