GCD of 15, 704, 725, 884 Calculator

Given Input numbers are 15, 704, 725, 884

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 15, 704, 725, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 704, 725, 884 is 1.

Therefore, GCD of numbers 15, 704, 725, 884 is 1

Given Input Data is 15, 704, 725, 884

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 704) = 10560

GCD(15, 704) = ( 15 x 704 ) / 10560

GCD(15, 704) = 10560 / 10560

GCD(15, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 15, 704, 725, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 597, 341, 855
• GCD of 48, 217, 964, 719
• GCD of 79, 133, 355, 864
• GCD of 36, 702, 807, 311
• GCD of 68, 431, 738, 359

1. What is the GCD of 15, 704, 725, 884?

GCD of 15, 704, 725, 884 is 1

2. Where do I get the detailed procedure to find GCD of 15, 704, 725, 884?

You can find a detailed procedure to find GCD of 15, 704, 725, 884 on our page.

3. How to find GCD of 15, 704, 725, 884 on a calculator?

You can find the GCD of 15, 704, 725, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.