GCD of 725, 112, 179, 395 Calculator

Given Input numbers are 725, 112, 179, 395

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 725, 112, 179, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 112, 179, 395 is 1.

Therefore, GCD of numbers 725, 112, 179, 395 is 1

Given Input Data is 725, 112, 179, 395

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 179 is 179

Prime Factorization of 395 is 5 x 79

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(725, 112) = 81200

GCD(725, 112) = ( 725 x 112 ) / 81200

GCD(725, 112) = 81200 / 81200

GCD(725, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 725, 112, 179, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 167, 633, 970
• GCD of 221, 578, 460, 396
• GCD of 369, 677, 904, 995
• GCD of 992, 802, 377, 901
• GCD of 280, 731, 200, 716

1. What is the GCD of 725, 112, 179, 395?

GCD of 725, 112, 179, 395 is 1

2. Where do I get the detailed procedure to find GCD of 725, 112, 179, 395?

You can find a detailed procedure to find GCD of 725, 112, 179, 395 on our page.

3. How to find GCD of 725, 112, 179, 395 on a calculator?

You can find the GCD of 725, 112, 179, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.