Online GCD Calculator is useful to find the GCD of 936, 918, 234, 591 quickly. Get the easiest ways to solve the greatest common divisor of 936, 918, 234, 591 i.e 3 in different methods as follows.
Given Input numbers are 936, 918, 234, 591
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 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
GCD of numbers is the greatest common divisor
So, the GCD (936, 918, 234, 591) = 3.
Given numbers are 936, 918, 234, 591
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 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 591 are 3 x 197
The highest common occurrence is 31
Therefore, GCD of 936, 918, 234, 591 is 3.
Given numbers are 936, 918, 234, 591
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 918) = 47736
GCD(936, 918) = ( 936 x 918 ) / 47736
= 936 / 918
= 936
Step2:
LCM(18, 234) = 234
GCD(18, 234) = ( 18 x 234 ) / 234
= 18 / 234
= 18
Step3:
LCM(18, 591) = 3546
GCD(18, 591) = ( 18 x 591 ) / 3546
= 18 / 591
= 18
So, Greatest Common Divisor of 936, 918, 234, 591 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 918, 234, 591
The greatest common divisor of numbers 936, 918, 234, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 918, 234, 591 is 3.
1. What is the GCD of 936, 918, 234, 591?
GCD of given numbers 936, 918, 234, 591 is 3
2. How to calculate the greatest common divisor of 936, 918, 234, 591?
We can find the highest common divisor of 936, 918, 234, 591 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, 918, 234, 591 i.e 3.
3. How can I use the GCD of 936, 918, 234, 591Calculator?
Out the numbers 936, 918, 234, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.