Online GCD Calculator is useful to find the GCD of 648, 720, 936, 384 quickly. Get the easiest ways to solve the greatest common divisor of 648, 720, 936, 384 i.e 24 in different methods as follows.
Given Input numbers are 648, 720, 936, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (648, 720, 936, 384) = 24.
Given numbers are 648, 720, 936, 384
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 23 x 31
Therefore, GCD of 648, 720, 936, 384 is 24.
Given numbers are 648, 720, 936, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 720) = 6480
GCD(648, 720) = ( 648 x 720 ) / 6480
= 648 / 720
= 648
Step2:
LCM(72, 936) = 936
GCD(72, 936) = ( 72 x 936 ) / 936
= 72 / 936
= 72
Step3:
LCM(72, 384) = 1152
GCD(72, 384) = ( 72 x 384 ) / 1152
= 72 / 384
= 72
So, Greatest Common Divisor of 648, 720, 936, 384 is 24
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 720, 936, 384
The greatest common divisor of numbers 648, 720, 936, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 720, 936, 384 is 24.
1. What is the GCD of 648, 720, 936, 384?
GCD of given numbers 648, 720, 936, 384 is 24
2. How to calculate the greatest common divisor of 648, 720, 936, 384?
We can find the highest common divisor of 648, 720, 936, 384 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 648, 720, 936, 384 i.e 24.
3. How can I use the GCD of 648, 720, 936, 384Calculator?
Out the numbers 648, 720, 936, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.