Online GCD Calculator is useful to find the GCD of 788, 308, 38, 687 quickly. Get the easiest ways to solve the greatest common divisor of 788, 308, 38, 687 i.e 1 in different methods as follows.
Given Input numbers are 788, 308, 38, 687
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 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (788, 308, 38, 687) = 1.
Given numbers are 788, 308, 38, 687
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 38 are 2 x 19
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 788, 308, 38, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 308) = 60676
GCD(788, 308) = ( 788 x 308 ) / 60676
= 788 / 308
= 788
Step2:
LCM(4, 38) = 76
GCD(4, 38) = ( 4 x 38 ) / 76
= 4 / 38
= 4
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 788, 308, 38, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 308, 38, 687
The greatest common divisor of numbers 788, 308, 38, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 308, 38, 687 is 1.
1. What is the GCD of 788, 308, 38, 687?
GCD of given numbers 788, 308, 38, 687 is 1
2. How to calculate the greatest common divisor of 788, 308, 38, 687?
We can find the highest common divisor of 788, 308, 38, 687 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, 308, 38, 687 i.e 1.
3. How can I use the GCD of 788, 308, 38, 687Calculator?
Out the numbers 788, 308, 38, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.