Online GCD Calculator is useful to find the GCD of 752, 322, 317, 689 quickly. Get the easiest ways to solve the greatest common divisor of 752, 322, 317, 689 i.e 1 in different methods as follows.
Given Input numbers are 752, 322, 317, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (752, 322, 317, 689) = 1.
Given numbers are 752, 322, 317, 689
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 322 are 2 x 7 x 23
Prime factors of 317 are 317
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 752, 322, 317, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 322) = 121072
GCD(752, 322) = ( 752 x 322 ) / 121072
= 752 / 322
= 752
Step2:
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
= 2 / 317
= 2
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 752, 322, 317, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 322, 317, 689
The greatest common divisor of numbers 752, 322, 317, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 322, 317, 689 is 1.
1. What is the GCD of 752, 322, 317, 689?
GCD of given numbers 752, 322, 317, 689 is 1
2. How to calculate the greatest common divisor of 752, 322, 317, 689?
We can find the highest common divisor of 752, 322, 317, 689 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 752, 322, 317, 689 i.e 1.
3. How can I use the GCD of 752, 322, 317, 689Calculator?
Out the numbers 752, 322, 317, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.