Online GCD Calculator is useful to find the GCD of 936, 628, 348, 288 quickly. Get the easiest ways to solve the greatest common divisor of 936, 628, 348, 288 i.e 4 in different methods as follows.
Given Input numbers are 936, 628, 348, 288
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 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (936, 628, 348, 288) = 4.
Given numbers are 936, 628, 348, 288
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 628 are 2 x 2 x 157
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 936, 628, 348, 288 is 4.
Given numbers are 936, 628, 348, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 628) = 146952
GCD(936, 628) = ( 936 x 628 ) / 146952
= 936 / 628
= 936
Step2:
LCM(4, 348) = 348
GCD(4, 348) = ( 4 x 348 ) / 348
= 4 / 348
= 4
Step3:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
So, Greatest Common Divisor of 936, 628, 348, 288 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 628, 348, 288
The greatest common divisor of numbers 936, 628, 348, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 628, 348, 288 is 4.
1. What is the GCD of 936, 628, 348, 288?
GCD of given numbers 936, 628, 348, 288 is 4
2. How to calculate the greatest common divisor of 936, 628, 348, 288?
We can find the highest common divisor of 936, 628, 348, 288 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, 628, 348, 288 i.e 4.
3. How can I use the GCD of 936, 628, 348, 288Calculator?
Out the numbers 936, 628, 348, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.