GCD of 25, 172, 112, 415 Calculator

Given Input numbers are 25, 172, 112, 415

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 25, 172, 112, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 172, 112, 415 is 1.

Therefore, GCD of numbers 25, 172, 112, 415 is 1

Given Input Data is 25, 172, 112, 415

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 415 is 5 x 83

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(25, 172) = 4300

GCD(25, 172) = ( 25 x 172 ) / 4300

GCD(25, 172) = 4300 / 4300

GCD(25, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 25, 172, 112, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 887, 677, 206
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• GCD of 39, 959, 836, 494

1. What is the GCD of 25, 172, 112, 415?

GCD of 25, 172, 112, 415 is 1

2. Where do I get the detailed procedure to find GCD of 25, 172, 112, 415?

You can find a detailed procedure to find GCD of 25, 172, 112, 415 on our page.

3. How to find GCD of 25, 172, 112, 415 on a calculator?

You can find the GCD of 25, 172, 112, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.