Online GCD Calculator is useful to find the GCD of 164, 936, 732, 268 quickly. Get the easiest ways to solve the greatest common divisor of 164, 936, 732, 268 i.e 4 in different methods as follows.
Given Input numbers are 164, 936, 732, 268
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (164, 936, 732, 268) = 4.
Given numbers are 164, 936, 732, 268
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 22
Therefore, GCD of 164, 936, 732, 268 is 4.
Given numbers are 164, 936, 732, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 936) = 38376
GCD(164, 936) = ( 164 x 936 ) / 38376
= 164 / 936
= 164
Step2:
LCM(4, 732) = 732
GCD(4, 732) = ( 4 x 732 ) / 732
= 4 / 732
= 4
Step3:
LCM(4, 268) = 268
GCD(4, 268) = ( 4 x 268 ) / 268
= 4 / 268
= 4
So, Greatest Common Divisor of 164, 936, 732, 268 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 936, 732, 268
The greatest common divisor of numbers 164, 936, 732, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 936, 732, 268 is 4.
1. What is the GCD of 164, 936, 732, 268?
GCD of given numbers 164, 936, 732, 268 is 4
2. How to calculate the greatest common divisor of 164, 936, 732, 268?
We can find the highest common divisor of 164, 936, 732, 268 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 164, 936, 732, 268 i.e 4.
3. How can I use the GCD of 164, 936, 732, 268Calculator?
Out the numbers 164, 936, 732, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.