Online GCD Calculator is useful to find the GCD of 389, 289, 600, 680 quickly. Get the easiest ways to solve the greatest common divisor of 389, 289, 600, 680 i.e 1 in different methods as follows.
Given Input numbers are 389, 289, 600, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 389 :
The positive integer divisors of 389 that completely divides 389 are.
1, 389
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (389, 289, 600, 680) = 1.
Given numbers are 389, 289, 600, 680
The list of prime factors of all numbers are
Prime factors of 389 are 389
Prime factors of 289 are 17 x 17
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 389, 289, 600, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(389, 289) = 112421
GCD(389, 289) = ( 389 x 289 ) / 112421
= 389 / 289
= 389
Step2:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 389, 289, 600, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 389, 289, 600, 680
The greatest common divisor of numbers 389, 289, 600, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 389, 289, 600, 680 is 1.
1. What is the GCD of 389, 289, 600, 680?
GCD of given numbers 389, 289, 600, 680 is 1
2. How to calculate the greatest common divisor of 389, 289, 600, 680?
We can find the highest common divisor of 389, 289, 600, 680 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 389, 289, 600, 680 i.e 1.
3. How can I use the GCD of 389, 289, 600, 680Calculator?
Out the numbers 389, 289, 600, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.