GCD of 380, 994, 363, 309 Calculator

Given Input numbers are 380, 994, 363, 309

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (380, 994, 363, 309) = 1.

Given numbers are 380, 994, 363, 309

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 994 are 2 x 7 x 71

Prime factors of 363 are 3 x 11 x 11

Prime factors of 309 are 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 380, 994, 363, 309

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(380, 994) = 188860

GCD(380, 994) = ( 380 x 994 ) / 188860

= 380 / 994

= 380

Step2:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 380, 994, 363, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 634, 387, 780
• GCD of 723, 574, 555, 755
• GCD of 708, 620, 701, 682
• GCD of 401, 322, 563, 201
• GCD of 105, 406, 426, 258

Given numbers are 380, 994, 363, 309
The greatest common divisor of numbers 380, 994, 363, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 994, 363, 309 is 1.

1. What is the GCD of 380, 994, 363, 309?

GCD of given numbers 380, 994, 363, 309 is 1

2. How to calculate the greatest common divisor of 380, 994, 363, 309?

We can find the highest common divisor of 380, 994, 363, 309 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, 994, 363, 309 i.e 1.

3. How can I use the GCD of 380, 994, 363, 309Calculator?

Out the numbers 380, 994, 363, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.