GCD of 309, 320, 103, 404 Calculator

Given Input numbers are 309, 320, 103, 404

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (309, 320, 103, 404) = 1.

Given numbers are 309, 320, 103, 404

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 103 are 103

Prime factors of 404 are 2 x 2 x 101

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

Given numbers are 309, 320, 103, 404

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

Apply this formula for all numbers.

Step1:

LCM(309, 320) = 98880

GCD(309, 320) = ( 309 x 320 ) / 98880

= 309 / 320

= 309

Step2:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1

Step3:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1

So, Greatest Common Divisor of 309, 320, 103, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 890, 151, 297
• GCD of 302, 301, 454, 408
• GCD of 690, 989, 938, 156
• GCD of 560, 595, 985, 197
• GCD of 474, 493, 789, 156

Given numbers are 309, 320, 103, 404
The greatest common divisor of numbers 309, 320, 103, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 320, 103, 404 is 1.

1. What is the GCD of 309, 320, 103, 404?

GCD of given numbers 309, 320, 103, 404 is 1

2. How to calculate the greatest common divisor of 309, 320, 103, 404?

We can find the highest common divisor of 309, 320, 103, 404 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, 320, 103, 404 i.e 1.

3. How can I use the GCD of 309, 320, 103, 404Calculator?

Out the numbers 309, 320, 103, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.