GCD of 105, 810, 108 Calculator

Given Input numbers are 105, 810, 108

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 810, 108) = 3.

Given numbers are 105, 810, 108

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 105, 810, 108 is 3.

Given numbers are 105, 810, 108

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

Apply this formula for all numbers.

Step1:

LCM(105, 810) = 5670

GCD(105, 810) = ( 105 x 810 ) / 5670

= 105 / 810

= 105

Step2:

LCM(15, 108) = 540

GCD(15, 108) = ( 15 x 108 ) / 540

= 15 / 108

= 15

So, Greatest Common Divisor of 105, 810, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 596, 604
• GCD of 233, 420, 769
• GCD of 956, 204, 478
• GCD of 382, 909, 797
• GCD of 994, 402, 269

Given numbers are 105, 810, 108
The greatest common divisor of numbers 105, 810, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 810, 108 is 3.

1. What is the GCD of 105, 810, 108?

GCD of given numbers 105, 810, 108 is 3

2. How to calculate the greatest common divisor of 105, 810, 108?

We can find the highest common divisor of 105, 810, 108 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 105, 810, 108 i.e 3.

3. How can I use the GCD of 105, 810, 108Calculator?

Out the numbers 105, 810, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.