GCD of 109, 810, 108, 338 Calculator

Given Input numbers are 109, 810, 108, 338

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (109, 810, 108, 338) = 1.

Given numbers are 109, 810, 108, 338

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

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

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 109, 810, 108, 338

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

Apply this formula for all numbers.

Step1:

LCM(109, 810) = 88290

GCD(109, 810) = ( 109 x 810 ) / 88290

= 109 / 810

= 109

Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 109, 810, 108, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 911, 989, 531
• GCD of 905, 422, 140, 936
• GCD of 565, 295, 443, 901
• GCD of 596, 847, 269, 670
• GCD of 582, 872, 757, 722

Given numbers are 109, 810, 108, 338
The greatest common divisor of numbers 109, 810, 108, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 810, 108, 338 is 1.

1. What is the GCD of 109, 810, 108, 338?

GCD of given numbers 109, 810, 108, 338 is 1

2. How to calculate the greatest common divisor of 109, 810, 108, 338?

We can find the highest common divisor of 109, 810, 108, 338 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 109, 810, 108, 338 i.e 1.

3. How can I use the GCD of 109, 810, 108, 338Calculator?

Out the numbers 109, 810, 108, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.