GCD of 108, 326, 471, 409 Calculator

Given Input numbers are 108, 326, 471, 409

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

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 (108, 326, 471, 409) = 1.

Given numbers are 108, 326, 471, 409

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 326 are 2 x 163

Prime factors of 471 are 3 x 157

Prime factors of 409 are 409

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

Given numbers are 108, 326, 471, 409

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

Apply this formula for all numbers.

Step1:

LCM(108, 326) = 17604

GCD(108, 326) = ( 108 x 326 ) / 17604

= 108 / 326

= 108

Step2:

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

= 2 / 471

= 2

Step3:

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

= 1 / 409

= 1

So, Greatest Common Divisor of 108, 326, 471, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 187, 123, 103
• GCD of 449, 585, 765, 820
• GCD of 887, 411, 380, 700
• GCD of 991, 529, 212, 991
• GCD of 878, 809, 875, 237

Given numbers are 108, 326, 471, 409
The greatest common divisor of numbers 108, 326, 471, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 326, 471, 409 is 1.

1. What is the GCD of 108, 326, 471, 409?

GCD of given numbers 108, 326, 471, 409 is 1

2. How to calculate the greatest common divisor of 108, 326, 471, 409?

We can find the highest common divisor of 108, 326, 471, 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 108, 326, 471, 409 i.e 1.

3. How can I use the GCD of 108, 326, 471, 409Calculator?

Out the numbers 108, 326, 471, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.