Online GCD Calculator is useful to find the GCD of 680, 986, 187, 493 quickly. Get the easiest ways to solve the greatest common divisor of 680, 986, 187, 493 i.e 17 in different methods as follows.
Given Input numbers are 680, 986, 187, 493
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (680, 986, 187, 493) = 17.
Given numbers are 680, 986, 187, 493
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 986 are 2 x 17 x 29
Prime factors of 187 are 11 x 17
Prime factors of 493 are 17 x 29
The highest common occurrence is 171
Therefore, GCD of 680, 986, 187, 493 is 17.
Given numbers are 680, 986, 187, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 986) = 19720
GCD(680, 986) = ( 680 x 986 ) / 19720
= 680 / 986
= 680
Step2:
LCM(34, 187) = 374
GCD(34, 187) = ( 34 x 187 ) / 374
= 34 / 187
= 34
Step3:
LCM(17, 493) = 493
GCD(17, 493) = ( 17 x 493 ) / 493
= 17 / 493
= 17
So, Greatest Common Divisor of 680, 986, 187, 493 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 986, 187, 493
The greatest common divisor of numbers 680, 986, 187, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 986, 187, 493 is 17.
1. What is the GCD of 680, 986, 187, 493?
GCD of given numbers 680, 986, 187, 493 is 17
2. How to calculate the greatest common divisor of 680, 986, 187, 493?
We can find the highest common divisor of 680, 986, 187, 493 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 680, 986, 187, 493 i.e 17.
3. How can I use the GCD of 680, 986, 187, 493Calculator?
Out the numbers 680, 986, 187, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.