GCD of 384, 309, 400, 208 Calculator

Given Input numbers are 384, 309, 400, 208

In the factoring method, we have to find the divisors of all numbers

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (384, 309, 400, 208) = 1.

Given numbers are 384, 309, 400, 208

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 309 are 3 x 103

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Given numbers are 384, 309, 400, 208

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

Apply this formula for all numbers.

Step1:

LCM(384, 309) = 39552

GCD(384, 309) = ( 384 x 309 ) / 39552

= 384 / 309

= 384

Step2:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

So, Greatest Common Divisor of 384, 309, 400, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 233, 112, 433
• GCD of 693, 608, 361, 453
• GCD of 208, 458, 338, 223
• GCD of 622, 128, 882, 603
• GCD of 781, 375, 611, 427

Given numbers are 384, 309, 400, 208
The greatest common divisor of numbers 384, 309, 400, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 309, 400, 208 is 1.

1. What is the GCD of 384, 309, 400, 208?

GCD of given numbers 384, 309, 400, 208 is 1

2. How to calculate the greatest common divisor of 384, 309, 400, 208?

We can find the highest common divisor of 384, 309, 400, 208 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 384, 309, 400, 208 i.e 1.

3. How can I use the GCD of 384, 309, 400, 208Calculator?

Out the numbers 384, 309, 400, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.