Online GCD Calculator is useful to find the GCD of 309, 880, 361, 382 quickly. Get the easiest ways to solve the greatest common divisor of 309, 880, 361, 382 i.e 1 in different methods as follows.
Given Input numbers are 309, 880, 361, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (309, 880, 361, 382) = 1.
Given numbers are 309, 880, 361, 382
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 361 are 19 x 19
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 880, 361, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 880) = 271920
GCD(309, 880) = ( 309 x 880 ) / 271920
= 309 / 880
= 309
Step2:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 309, 880, 361, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 880, 361, 382
The greatest common divisor of numbers 309, 880, 361, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 880, 361, 382 is 1.
1. What is the GCD of 309, 880, 361, 382?
GCD of given numbers 309, 880, 361, 382 is 1
2. How to calculate the greatest common divisor of 309, 880, 361, 382?
We can find the highest common divisor of 309, 880, 361, 382 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 309, 880, 361, 382 i.e 1.
3. How can I use the GCD of 309, 880, 361, 382Calculator?
Out the numbers 309, 880, 361, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.