Online GCD Calculator is useful to find the GCD of 360, 788, 796 quickly. Get the easiest ways to solve the greatest common divisor of 360, 788, 796 i.e 4 in different methods as follows.
Given Input numbers are 360, 788, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
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 (360, 788, 796) = 4.
Given numbers are 360, 788, 796
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 788 are 2 x 2 x 197
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 22
Therefore, GCD of 360, 788, 796 is 4.
Given numbers are 360, 788, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 788) = 70920
GCD(360, 788) = ( 360 x 788 ) / 70920
= 360 / 788
= 360
Step2:
LCM(4, 796) = 796
GCD(4, 796) = ( 4 x 796 ) / 796
= 4 / 796
= 4
So, Greatest Common Divisor of 360, 788, 796 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 788, 796
The greatest common divisor of numbers 360, 788, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 788, 796 is 4.
1. What is the GCD of 360, 788, 796?
GCD of given numbers 360, 788, 796 is 4
2. How to calculate the greatest common divisor of 360, 788, 796?
We can find the highest common divisor of 360, 788, 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 360, 788, 796 i.e 4.
3. How can I use the GCD of 360, 788, 796Calculator?
Out the numbers 360, 788, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.