Online GCD Calculator is useful to find the GCD of 380, 729, 306, 110 quickly. Get the easiest ways to solve the greatest common divisor of 380, 729, 306, 110 i.e 1 in different methods as follows.
Given Input numbers are 380, 729, 306, 110
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (380, 729, 306, 110) = 1.
Given numbers are 380, 729, 306, 110
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 110 are 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 380, 729, 306, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 729) = 277020
GCD(380, 729) = ( 380 x 729 ) / 277020
= 380 / 729
= 380
Step2:
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
= 1 / 306
= 1
Step3:
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
= 1 / 110
= 1
So, Greatest Common Divisor of 380, 729, 306, 110 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 729, 306, 110
The greatest common divisor of numbers 380, 729, 306, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 729, 306, 110 is 1.
1. What is the GCD of 380, 729, 306, 110?
GCD of given numbers 380, 729, 306, 110 is 1
2. How to calculate the greatest common divisor of 380, 729, 306, 110?
We can find the highest common divisor of 380, 729, 306, 110 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 380, 729, 306, 110 i.e 1.
3. How can I use the GCD of 380, 729, 306, 110Calculator?
Out the numbers 380, 729, 306, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.