Online GCD Calculator is useful to find the GCD of 348, 792, 960, 936 quickly. Get the easiest ways to solve the greatest common divisor of 348, 792, 960, 936 i.e 12 in different methods as follows.
Given Input numbers are 348, 792, 960, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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
GCD of numbers is the greatest common divisor
So, the GCD (348, 792, 960, 936) = 12.
Given numbers are 348, 792, 960, 936
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 348, 792, 960, 936 is 12.
Given numbers are 348, 792, 960, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 792) = 22968
GCD(348, 792) = ( 348 x 792 ) / 22968
= 348 / 792
= 348
Step2:
LCM(12, 960) = 960
GCD(12, 960) = ( 12 x 960 ) / 960
= 12 / 960
= 12
Step3:
LCM(12, 936) = 936
GCD(12, 936) = ( 12 x 936 ) / 936
= 12 / 936
= 12
So, Greatest Common Divisor of 348, 792, 960, 936 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 792, 960, 936
The greatest common divisor of numbers 348, 792, 960, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 792, 960, 936 is 12.
1. What is the GCD of 348, 792, 960, 936?
GCD of given numbers 348, 792, 960, 936 is 12
2. How to calculate the greatest common divisor of 348, 792, 960, 936?
We can find the highest common divisor of 348, 792, 960, 936 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 348, 792, 960, 936 i.e 12.
3. How can I use the GCD of 348, 792, 960, 936Calculator?
Out the numbers 348, 792, 960, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.