Online GCD Calculator is useful to find the GCD of 936, 533, 312 quickly. Get the easiest ways to solve the greatest common divisor of 936, 533, 312 i.e 13 in different methods as follows.
Given Input numbers are 936, 533, 312
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 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (936, 533, 312) = 13.
Given numbers are 936, 533, 312
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 533 are 13 x 41
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 131
Therefore, GCD of 936, 533, 312 is 13.
Given numbers are 936, 533, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 533) = 38376
GCD(936, 533) = ( 936 x 533 ) / 38376
= 936 / 533
= 936
Step2:
LCM(13, 312) = 312
GCD(13, 312) = ( 13 x 312 ) / 312
= 13 / 312
= 13
So, Greatest Common Divisor of 936, 533, 312 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 533, 312
The greatest common divisor of numbers 936, 533, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 533, 312 is 13.
1. What is the GCD of 936, 533, 312?
GCD of given numbers 936, 533, 312 is 13
2. How to calculate the greatest common divisor of 936, 533, 312?
We can find the highest common divisor of 936, 533, 312 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, 533, 312 i.e 13.
3. How can I use the GCD of 936, 533, 312Calculator?
Out the numbers 936, 533, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.