Online GCD Calculator is useful to find the GCD of 788, 800, 845, 338 quickly. Get the easiest ways to solve the greatest common divisor of 788, 800, 845, 338 i.e 1 in different methods as follows.
Given Input numbers are 788, 800, 845, 338
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 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 845 :
The positive integer divisors of 845 that completely divides 845 are.
1, 5, 13, 65, 169, 845
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (788, 800, 845, 338) = 1.
Given numbers are 788, 800, 845, 338
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 845 are 5 x 13 x 13
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 788, 800, 845, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 800) = 157600
GCD(788, 800) = ( 788 x 800 ) / 157600
= 788 / 800
= 788
Step2:
LCM(4, 845) = 3380
GCD(4, 845) = ( 4 x 845 ) / 3380
= 4 / 845
= 4
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 788, 800, 845, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 800, 845, 338
The greatest common divisor of numbers 788, 800, 845, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 800, 845, 338 is 1.
1. What is the GCD of 788, 800, 845, 338?
GCD of given numbers 788, 800, 845, 338 is 1
2. How to calculate the greatest common divisor of 788, 800, 845, 338?
We can find the highest common divisor of 788, 800, 845, 338 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, 800, 845, 338 i.e 1.
3. How can I use the GCD of 788, 800, 845, 338Calculator?
Out the numbers 788, 800, 845, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.