Online GCD Calculator is useful to find the GCD of 960, 936, 588 quickly. Get the easiest ways to solve the greatest common divisor of 960, 936, 588 i.e 12 in different methods as follows.
Given Input numbers are 960, 936, 588
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (960, 936, 588) = 12.
Given numbers are 960, 936, 588
The list of prime factors of all numbers are
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
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 22 x 31
Therefore, GCD of 960, 936, 588 is 12.
Given numbers are 960, 936, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 936) = 37440
GCD(960, 936) = ( 960 x 936 ) / 37440
= 960 / 936
= 960
Step2:
LCM(24, 588) = 1176
GCD(24, 588) = ( 24 x 588 ) / 1176
= 24 / 588
= 24
So, Greatest Common Divisor of 960, 936, 588 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 936, 588
The greatest common divisor of numbers 960, 936, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 936, 588 is 12.
1. What is the GCD of 960, 936, 588?
GCD of given numbers 960, 936, 588 is 12
2. How to calculate the greatest common divisor of 960, 936, 588?
We can find the highest common divisor of 960, 936, 588 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 960, 936, 588 i.e 12.
3. How can I use the GCD of 960, 936, 588Calculator?
Out the numbers 960, 936, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.