GCD of 109, 801, 36, 351 Calculator

Given Input numbers are 109, 801, 36, 351

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 109, 801, 36, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 801, 36, 351 is 1.

Therefore, GCD of numbers 109, 801, 36, 351 is 1

Given Input Data is 109, 801, 36, 351

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

Prime Factorization of 109 is 109

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(109, 801) = 87309

GCD(109, 801) = ( 109 x 801 ) / 87309

GCD(109, 801) = 87309 / 87309

GCD(109, 801) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 109, 801, 36, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 961, 90, 300
• GCD of 295, 925, 71, 897
• GCD of 584, 789, 83, 383
• GCD of 440, 630, 86, 188
• GCD of 681, 570, 33, 574

1. What is the GCD of 109, 801, 36, 351?

GCD of 109, 801, 36, 351 is 1

2. Where do I get the detailed procedure to find GCD of 109, 801, 36, 351?

You can find a detailed procedure to find GCD of 109, 801, 36, 351 on our page.

3. How to find GCD of 109, 801, 36, 351 on a calculator?

You can find the GCD of 109, 801, 36, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.