Online GCD Calculator is useful to find the GCD of 563, 767, 768, 108 quickly. Get the easiest ways to solve the greatest common divisor of 563, 767, 768, 108 i.e 1 in different methods as follows.
Given Input numbers are 563, 767, 768, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 563 :
The positive integer divisors of 563 that completely divides 563 are.
1, 563
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (563, 767, 768, 108) = 1.
Given numbers are 563, 767, 768, 108
The list of prime factors of all numbers are
Prime factors of 563 are 563
Prime factors of 767 are 13 x 59
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 563, 767, 768, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(563, 767) = 431821
GCD(563, 767) = ( 563 x 767 ) / 431821
= 563 / 767
= 563
Step2:
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
= 1 / 768
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 563, 767, 768, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 563, 767, 768, 108
The greatest common divisor of numbers 563, 767, 768, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 767, 768, 108 is 1.
1. What is the GCD of 563, 767, 768, 108?
GCD of given numbers 563, 767, 768, 108 is 1
2. How to calculate the greatest common divisor of 563, 767, 768, 108?
We can find the highest common divisor of 563, 767, 768, 108 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 563, 767, 768, 108 i.e 1.
3. How can I use the GCD of 563, 767, 768, 108Calculator?
Out the numbers 563, 767, 768, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.