Online GCD Calculator is useful to find the GCD of 352, 517, 689 quickly. Get the easiest ways to solve the greatest common divisor of 352, 517, 689 i.e 1 in different methods as follows.
Given Input numbers are 352, 517, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
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 (352, 517, 689) = 1.
Given numbers are 352, 517, 689
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 517 are 11 x 47
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 352, 517, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 517) = 16544
GCD(352, 517) = ( 352 x 517 ) / 16544
= 352 / 517
= 352
Step2:
LCM(11, 689) = 7579
GCD(11, 689) = ( 11 x 689 ) / 7579
= 11 / 689
= 11
So, Greatest Common Divisor of 352, 517, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 517, 689
The greatest common divisor of numbers 352, 517, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 517, 689 is 1.
1. What is the GCD of 352, 517, 689?
GCD of given numbers 352, 517, 689 is 1
2. How to calculate the greatest common divisor of 352, 517, 689?
We can find the highest common divisor of 352, 517, 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 352, 517, 689 i.e 1.
3. How can I use the GCD of 352, 517, 689Calculator?
Out the numbers 352, 517, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.