GCD of 654, 888, 13, 115 Calculator

Given Input numbers are 654, 888, 13, 115

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 654, 888, 13, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 888, 13, 115 is 1.

Therefore, GCD of numbers 654, 888, 13, 115 is 1

Given Input Data is 654, 888, 13, 115

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 13 is 13

Prime Factorization of 115 is 5 x 23

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(654, 888) = 96792

GCD(654, 888) = ( 654 x 888 ) / 96792

GCD(654, 888) = 580752 / 96792

GCD(654, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 13

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

LCM(6, 13) = 78

GCD(6, 13) = ( 6 x 13 ) / 78

GCD(6, 13) = 78 / 78

GCD(6, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 654, 888, 13, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 351, 47, 290
• GCD of 373, 477, 14, 781
• GCD of 851, 494, 52, 397
• GCD of 640, 572, 53, 985
• GCD of 143, 135, 41, 514

1. What is the GCD of 654, 888, 13, 115?

GCD of 654, 888, 13, 115 is 1

2. Where do I get the detailed procedure to find GCD of 654, 888, 13, 115?

You can find a detailed procedure to find GCD of 654, 888, 13, 115 on our page.

3. How to find GCD of 654, 888, 13, 115 on a calculator?

You can find the GCD of 654, 888, 13, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.