Online GCD Calculator is useful to find the GCD of 986, 971, 459, 360 quickly. Get the easiest ways to solve the greatest common divisor of 986, 971, 459, 360 i.e 1 in different methods as follows.
Given Input numbers are 986, 971, 459, 360
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 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (986, 971, 459, 360) = 1.
Given numbers are 986, 971, 459, 360
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 971 are 971
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 986, 971, 459, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 971) = 957406
GCD(986, 971) = ( 986 x 971 ) / 957406
= 986 / 971
= 986
Step2:
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
= 1 / 459
= 1
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 986, 971, 459, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 971, 459, 360
The greatest common divisor of numbers 986, 971, 459, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 971, 459, 360 is 1.
1. What is the GCD of 986, 971, 459, 360?
GCD of given numbers 986, 971, 459, 360 is 1
2. How to calculate the greatest common divisor of 986, 971, 459, 360?
We can find the highest common divisor of 986, 971, 459, 360 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, 971, 459, 360 i.e 1.
3. How can I use the GCD of 986, 971, 459, 360Calculator?
Out the numbers 986, 971, 459, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.