Online GCD Calculator is useful to find the GCD of 232, 652, 936, 264 quickly. Get the easiest ways to solve the greatest common divisor of 232, 652, 936, 264 i.e 4 in different methods as follows.
Given Input numbers are 232, 652, 936, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
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 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (232, 652, 936, 264) = 4.
Given numbers are 232, 652, 936, 264
The list of prime factors of all numbers are
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 652 are 2 x 2 x 163
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 22
Therefore, GCD of 232, 652, 936, 264 is 4.
Given numbers are 232, 652, 936, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(232, 652) = 37816
GCD(232, 652) = ( 232 x 652 ) / 37816
= 232 / 652
= 232
Step2:
LCM(4, 936) = 936
GCD(4, 936) = ( 4 x 936 ) / 936
= 4 / 936
= 4
Step3:
LCM(4, 264) = 264
GCD(4, 264) = ( 4 x 264 ) / 264
= 4 / 264
= 4
So, Greatest Common Divisor of 232, 652, 936, 264 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 232, 652, 936, 264
The greatest common divisor of numbers 232, 652, 936, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 652, 936, 264 is 4.
1. What is the GCD of 232, 652, 936, 264?
GCD of given numbers 232, 652, 936, 264 is 4
2. How to calculate the greatest common divisor of 232, 652, 936, 264?
We can find the highest common divisor of 232, 652, 936, 264 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 232, 652, 936, 264 i.e 4.
3. How can I use the GCD of 232, 652, 936, 264Calculator?
Out the numbers 232, 652, 936, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.