GCD of 300, 468, 40, 409 Calculator

Given Input numbers are 300, 468, 40, 409

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (300, 468, 40, 409) = 1.

Given numbers are 300, 468, 40, 409

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 409 are 409

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

Given numbers are 300, 468, 40, 409

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

Apply this formula for all numbers.

Step1:

LCM(300, 468) = 11700

GCD(300, 468) = ( 300 x 468 ) / 11700

= 300 / 468

= 300

Step2:

LCM(12, 40) = 120

GCD(12, 40) = ( 12 x 40 ) / 120

= 12 / 40

= 12

Step3:

LCM(4, 409) = 1636

GCD(4, 409) = ( 4 x 409 ) / 1636

= 4 / 409

= 4

So, Greatest Common Divisor of 300, 468, 40, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 329, 73, 176
• GCD of 426, 806, 63, 392
• GCD of 441, 369, 31, 387
• GCD of 753, 242, 31, 203
• GCD of 723, 790, 38, 244

Given numbers are 300, 468, 40, 409
The greatest common divisor of numbers 300, 468, 40, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 468, 40, 409 is 1.

1. What is the GCD of 300, 468, 40, 409?

GCD of given numbers 300, 468, 40, 409 is 1

2. How to calculate the greatest common divisor of 300, 468, 40, 409?

We can find the highest common divisor of 300, 468, 40, 409 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 300, 468, 40, 409 i.e 1.

3. How can I use the GCD of 300, 468, 40, 409Calculator?

Out the numbers 300, 468, 40, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.