Online GCD Calculator is useful to find the GCD of 788, 220, 656, 812 quickly. Get the easiest ways to solve the greatest common divisor of 788, 220, 656, 812 i.e 4 in different methods as follows.
Given Input numbers are 788, 220, 656, 812
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (788, 220, 656, 812) = 4.
Given numbers are 788, 220, 656, 812
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 22
Therefore, GCD of 788, 220, 656, 812 is 4.
Given numbers are 788, 220, 656, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 220) = 43340
GCD(788, 220) = ( 788 x 220 ) / 43340
= 788 / 220
= 788
Step2:
LCM(4, 656) = 656
GCD(4, 656) = ( 4 x 656 ) / 656
= 4 / 656
= 4
Step3:
LCM(4, 812) = 812
GCD(4, 812) = ( 4 x 812 ) / 812
= 4 / 812
= 4
So, Greatest Common Divisor of 788, 220, 656, 812 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 220, 656, 812
The greatest common divisor of numbers 788, 220, 656, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 220, 656, 812 is 4.
1. What is the GCD of 788, 220, 656, 812?
GCD of given numbers 788, 220, 656, 812 is 4
2. How to calculate the greatest common divisor of 788, 220, 656, 812?
We can find the highest common divisor of 788, 220, 656, 812 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, 220, 656, 812 i.e 4.
3. How can I use the GCD of 788, 220, 656, 812Calculator?
Out the numbers 788, 220, 656, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.