Online GCD Calculator is useful to find the GCD of 330, 986, 343, 340 quickly. Get the easiest ways to solve the greatest common divisor of 330, 986, 343, 340 i.e 1 in different methods as follows.
Given Input numbers are 330, 986, 343, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (330, 986, 343, 340) = 1.
Given numbers are 330, 986, 343, 340
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 986 are 2 x 17 x 29
Prime factors of 343 are 7 x 7 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 330, 986, 343, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 986) = 162690
GCD(330, 986) = ( 330 x 986 ) / 162690
= 330 / 986
= 330
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
= 1 / 340
= 1
So, Greatest Common Divisor of 330, 986, 343, 340 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 986, 343, 340
The greatest common divisor of numbers 330, 986, 343, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 986, 343, 340 is 1.
1. What is the GCD of 330, 986, 343, 340?
GCD of given numbers 330, 986, 343, 340 is 1
2. How to calculate the greatest common divisor of 330, 986, 343, 340?
We can find the highest common divisor of 330, 986, 343, 340 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 330, 986, 343, 340 i.e 1.
3. How can I use the GCD of 330, 986, 343, 340Calculator?
Out the numbers 330, 986, 343, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.