Online GCD Calculator is useful to find the GCD of 912, 706, 24, 584 quickly. Get the easiest ways to solve the greatest common divisor of 912, 706, 24, 584 i.e 2 in different methods as follows.
Given Input numbers are 912, 706, 24, 584
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (912, 706, 24, 584) = 2.
Given numbers are 912, 706, 24, 584
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 706 are 2 x 353
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 21
Therefore, GCD of 912, 706, 24, 584 is 2.
Given numbers are 912, 706, 24, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 706) = 321936
GCD(912, 706) = ( 912 x 706 ) / 321936
= 912 / 706
= 912
Step2:
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
= 2 / 24
= 2
Step3:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
So, Greatest Common Divisor of 912, 706, 24, 584 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 706, 24, 584
The greatest common divisor of numbers 912, 706, 24, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 706, 24, 584 is 2.
1. What is the GCD of 912, 706, 24, 584?
GCD of given numbers 912, 706, 24, 584 is 2
2. How to calculate the greatest common divisor of 912, 706, 24, 584?
We can find the highest common divisor of 912, 706, 24, 584 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 912, 706, 24, 584 i.e 2.
3. How can I use the GCD of 912, 706, 24, 584Calculator?
Out the numbers 912, 706, 24, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.