Online GCD Calculator is useful to find the GCD of 163, 460, 616, 689 quickly. Get the easiest ways to solve the greatest common divisor of 163, 460, 616, 689 i.e 1 in different methods as follows.
Given Input numbers are 163, 460, 616, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 163 :
The positive integer divisors of 163 that completely divides 163 are.
1, 163
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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 (163, 460, 616, 689) = 1.
Given numbers are 163, 460, 616, 689
The list of prime factors of all numbers are
Prime factors of 163 are 163
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
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 163, 460, 616, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(163, 460) = 74980
GCD(163, 460) = ( 163 x 460 ) / 74980
= 163 / 460
= 163
Step2:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 163, 460, 616, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 163, 460, 616, 689
The greatest common divisor of numbers 163, 460, 616, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 163, 460, 616, 689 is 1.
1. What is the GCD of 163, 460, 616, 689?
GCD of given numbers 163, 460, 616, 689 is 1
2. How to calculate the greatest common divisor of 163, 460, 616, 689?
We can find the highest common divisor of 163, 460, 616, 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 163, 460, 616, 689 i.e 1.
3. How can I use the GCD of 163, 460, 616, 689Calculator?
Out the numbers 163, 460, 616, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.