Online GCD Calculator is useful to find the GCD of 986, 956, 850, 361 quickly. Get the easiest ways to solve the greatest common divisor of 986, 956, 850, 361 i.e 1 in different methods as follows.
Given Input numbers are 986, 956, 850, 361
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 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (986, 956, 850, 361) = 1.
Given numbers are 986, 956, 850, 361
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 956 are 2 x 2 x 239
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 986, 956, 850, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 956) = 471308
GCD(986, 956) = ( 986 x 956 ) / 471308
= 986 / 956
= 986
Step2:
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
= 2 / 850
= 2
Step3:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
So, Greatest Common Divisor of 986, 956, 850, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 956, 850, 361
The greatest common divisor of numbers 986, 956, 850, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 956, 850, 361 is 1.
1. What is the GCD of 986, 956, 850, 361?
GCD of given numbers 986, 956, 850, 361 is 1
2. How to calculate the greatest common divisor of 986, 956, 850, 361?
We can find the highest common divisor of 986, 956, 850, 361 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, 956, 850, 361 i.e 1.
3. How can I use the GCD of 986, 956, 850, 361Calculator?
Out the numbers 986, 956, 850, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.