GCD of 409, 216, 441, 355 Calculator

Given Input numbers are 409, 216, 441, 355

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

Divisors of 409 :

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

1, 409

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (409, 216, 441, 355) = 1.

Given numbers are 409, 216, 441, 355

The list of prime factors of all numbers are

Prime factors of 409 are 409

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 355 are 5 x 71

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

Given numbers are 409, 216, 441, 355

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

Apply this formula for all numbers.

Step1:

LCM(409, 216) = 88344

GCD(409, 216) = ( 409 x 216 ) / 88344

= 409 / 216

= 409

Step2:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 409, 216, 441, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 863, 382, 710
• GCD of 775, 281, 819, 204
• GCD of 760, 243, 323, 148
• GCD of 945, 165, 341, 142
• GCD of 179, 385, 967, 238

Given numbers are 409, 216, 441, 355
The greatest common divisor of numbers 409, 216, 441, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 409, 216, 441, 355 is 1.

1. What is the GCD of 409, 216, 441, 355?

GCD of given numbers 409, 216, 441, 355 is 1

2. How to calculate the greatest common divisor of 409, 216, 441, 355?

We can find the highest common divisor of 409, 216, 441, 355 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 409, 216, 441, 355 i.e 1.

3. How can I use the GCD of 409, 216, 441, 355Calculator?

Out the numbers 409, 216, 441, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.