GCD of 15, 109, 873, 356 Calculator

Given Input numbers are 15, 109, 873, 356

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 109

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

1, 109

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 15, 109, 873, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 109, 873, 356 is 1.

Therefore, GCD of numbers 15, 109, 873, 356 is 1

Given Input Data is 15, 109, 873, 356

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 109 is 109

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 356 is 2 x 2 x 89

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(15, 109) = 1635

GCD(15, 109) = ( 15 x 109 ) / 1635

GCD(15, 109) = 1635 / 1635

GCD(15, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 15, 109, 873, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 700, 802, 799
• GCD of 33, 915, 634, 714
• GCD of 44, 601, 120, 257
• GCD of 87, 465, 935, 186
• GCD of 51, 325, 423, 174

1. What is the GCD of 15, 109, 873, 356?

GCD of 15, 109, 873, 356 is 1

2. Where do I get the detailed procedure to find GCD of 15, 109, 873, 356?

You can find a detailed procedure to find GCD of 15, 109, 873, 356 on our page.

3. How to find GCD of 15, 109, 873, 356 on a calculator?

You can find the GCD of 15, 109, 873, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.