Online GCD Calculator is useful to find the GCD of 768, 744, 728, 796 quickly. Get the easiest ways to solve the greatest common divisor of 768, 744, 728, 796 i.e 4 in different methods as follows.
Given Input numbers are 768, 744, 728, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (768, 744, 728, 796) = 4.
Given numbers are 768, 744, 728, 796
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 22
Therefore, GCD of 768, 744, 728, 796 is 4.
Given numbers are 768, 744, 728, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 744) = 23808
GCD(768, 744) = ( 768 x 744 ) / 23808
= 768 / 744
= 768
Step2:
LCM(24, 728) = 2184
GCD(24, 728) = ( 24 x 728 ) / 2184
= 24 / 728
= 24
Step3:
LCM(8, 796) = 1592
GCD(8, 796) = ( 8 x 796 ) / 1592
= 8 / 796
= 8
So, Greatest Common Divisor of 768, 744, 728, 796 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 744, 728, 796
The greatest common divisor of numbers 768, 744, 728, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 744, 728, 796 is 4.
1. What is the GCD of 768, 744, 728, 796?
GCD of given numbers 768, 744, 728, 796 is 4
2. How to calculate the greatest common divisor of 768, 744, 728, 796?
We can find the highest common divisor of 768, 744, 728, 796 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 768, 744, 728, 796 i.e 4.
3. How can I use the GCD of 768, 744, 728, 796Calculator?
Out the numbers 768, 744, 728, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.