GCD of 855, 108, 90, 349 Calculator

Given Input numbers are 855, 108, 90, 349

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 855, 108, 90, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 108, 90, 349 is 1.

Therefore, GCD of numbers 855, 108, 90, 349 is 1

Given Input Data is 855, 108, 90, 349

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 349 is 349

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(855, 108) = 10260

GCD(855, 108) = ( 855 x 108 ) / 10260

GCD(855, 108) = 92340 / 10260

GCD(855, 108) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 90

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

LCM(9, 90) = 90

GCD(9, 90) = ( 9 x 90 ) / 90

GCD(9, 90) = 810 / 90

GCD(9, 90) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 349

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

LCM(9, 349) = 3141

GCD(9, 349) = ( 9 x 349 ) / 3141

GCD(9, 349) = 3141 / 3141

GCD(9, 349) = 1

GCD of 855, 108, 90, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 188, 37, 775
• GCD of 145, 440, 84, 316
• GCD of 614, 227, 15, 526
• GCD of 516, 449, 60, 224
• GCD of 217, 125, 98, 672

1. What is the GCD of 855, 108, 90, 349?

GCD of 855, 108, 90, 349 is 1

2. Where do I get the detailed procedure to find GCD of 855, 108, 90, 349?

You can find a detailed procedure to find GCD of 855, 108, 90, 349 on our page.

3. How to find GCD of 855, 108, 90, 349 on a calculator?

You can find the GCD of 855, 108, 90, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.