GCD of 25, 434, 915, 188 Calculator

Given Input numbers are 25, 434, 915, 188

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 25, 434, 915, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 434, 915, 188 is 1.

Therefore, GCD of numbers 25, 434, 915, 188 is 1

Given Input Data is 25, 434, 915, 188

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 188 is 2 x 2 x 47

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, 434) = 10850

GCD(25, 434) = ( 25 x 434 ) / 10850

GCD(25, 434) = 10850 / 10850

GCD(25, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 25, 434, 915, 188 is 1

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1. What is the GCD of 25, 434, 915, 188?

GCD of 25, 434, 915, 188 is 1

2. Where do I get the detailed procedure to find GCD of 25, 434, 915, 188?

You can find a detailed procedure to find GCD of 25, 434, 915, 188 on our page.

3. How to find GCD of 25, 434, 915, 188 on a calculator?

You can find the GCD of 25, 434, 915, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.