GCD of 15, 370, 145, 104 Calculator

Given Input numbers are 15, 370, 145, 104

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 15, 370, 145, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 370, 145, 104 is 1.

Therefore, GCD of numbers 15, 370, 145, 104 is 1

Given Input Data is 15, 370, 145, 104

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 145 is 5 x 29

Prime Factorization of 104 is 2 x 2 x 2 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(15, 370) = 1110

GCD(15, 370) = ( 15 x 370 ) / 1110

GCD(15, 370) = 5550 / 1110

GCD(15, 370) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 145

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

LCM(5, 145) = 145

GCD(5, 145) = ( 5 x 145 ) / 145

GCD(5, 145) = 725 / 145

GCD(5, 145) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 104

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

LCM(5, 104) = 520

GCD(5, 104) = ( 5 x 104 ) / 520

GCD(5, 104) = 520 / 520

GCD(5, 104) = 1

GCD of 15, 370, 145, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 417, 347, 882
• GCD of 99, 451, 534, 760
• GCD of 15, 534, 979, 491
• GCD of 47, 138, 453, 338
• GCD of 80, 394, 398, 467

1. What is the GCD of 15, 370, 145, 104?

GCD of 15, 370, 145, 104 is 1

2. Where do I get the detailed procedure to find GCD of 15, 370, 145, 104?

You can find a detailed procedure to find GCD of 15, 370, 145, 104 on our page.

3. How to find GCD of 15, 370, 145, 104 on a calculator?

You can find the GCD of 15, 370, 145, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.