Online GCD Calculator is useful to find the GCD of 788, 786, 216, 656 quickly. Get the easiest ways to solve the greatest common divisor of 788, 786, 216, 656 i.e 2 in different methods as follows.
Given Input numbers are 788, 786, 216, 656
In the factoring method, we have to find the divisors of all numbers
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
GCD of numbers is the greatest common divisor
So, the GCD (788, 786, 216, 656) = 2.
Given numbers are 788, 786, 216, 656
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 786 are 2 x 3 x 131
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 788, 786, 216, 656 is 2.
Given numbers are 788, 786, 216, 656
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 786) = 309684
GCD(788, 786) = ( 788 x 786 ) / 309684
= 788 / 786
= 788
Step2:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
Step3:
LCM(2, 656) = 656
GCD(2, 656) = ( 2 x 656 ) / 656
= 2 / 656
= 2
So, Greatest Common Divisor of 788, 786, 216, 656 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 786, 216, 656
The greatest common divisor of numbers 788, 786, 216, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 786, 216, 656 is 2.
1. What is the GCD of 788, 786, 216, 656?
GCD of given numbers 788, 786, 216, 656 is 2
2. How to calculate the greatest common divisor of 788, 786, 216, 656?
We can find the highest common divisor of 788, 786, 216, 656 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 788, 786, 216, 656 i.e 2.
3. How can I use the GCD of 788, 786, 216, 656Calculator?
Out the numbers 788, 786, 216, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.