GCD of 15, 874, 825, 628 Calculator

Given Input numbers are 15, 874, 825, 628

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 15, 874, 825, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 874, 825, 628 is 1.

Therefore, GCD of numbers 15, 874, 825, 628 is 1

Given Input Data is 15, 874, 825, 628

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 628 is 2 x 2 x 157

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, 874) = 13110

GCD(15, 874) = ( 15 x 874 ) / 13110

GCD(15, 874) = 13110 / 13110

GCD(15, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 15, 874, 825, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 629, 403, 418
• GCD of 63, 187, 559, 182
• GCD of 18, 134, 831, 541
• GCD of 34, 295, 875, 725
• GCD of 46, 526, 799, 726

1. What is the GCD of 15, 874, 825, 628?

GCD of 15, 874, 825, 628 is 1

2. Where do I get the detailed procedure to find GCD of 15, 874, 825, 628?

You can find a detailed procedure to find GCD of 15, 874, 825, 628 on our page.

3. How to find GCD of 15, 874, 825, 628 on a calculator?

You can find the GCD of 15, 874, 825, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.