Online GCD Calculator is useful to find the GCD of 986, 391, 442 quickly. Get the easiest ways to solve the greatest common divisor of 986, 391, 442 i.e 17 in different methods as follows.
Given Input numbers are 986, 391, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (986, 391, 442) = 17.
Given numbers are 986, 391, 442
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 391 are 17 x 23
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 171
Therefore, GCD of 986, 391, 442 is 17.
Given numbers are 986, 391, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 391) = 22678
GCD(986, 391) = ( 986 x 391 ) / 22678
= 986 / 391
= 986
Step2:
LCM(17, 442) = 442
GCD(17, 442) = ( 17 x 442 ) / 442
= 17 / 442
= 17
So, Greatest Common Divisor of 986, 391, 442 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 391, 442
The greatest common divisor of numbers 986, 391, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 391, 442 is 17.
1. What is the GCD of 986, 391, 442?
GCD of given numbers 986, 391, 442 is 17
2. How to calculate the greatest common divisor of 986, 391, 442?
We can find the highest common divisor of 986, 391, 442 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 986, 391, 442 i.e 17.
3. How can I use the GCD of 986, 391, 442Calculator?
Out the numbers 986, 391, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.