GCD of 125, 398, 41, 395 Calculator

Given Input numbers are 125, 398, 41, 395

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 125, 398, 41, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 398, 41, 395 is 1.

Therefore, GCD of numbers 125, 398, 41, 395 is 1

Given Input Data is 125, 398, 41, 395

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 398 is 2 x 199

Prime Factorization of 41 is 41

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(125, 398) = 49750

GCD(125, 398) = ( 125 x 398 ) / 49750

GCD(125, 398) = 49750 / 49750

GCD(125, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 125, 398, 41, 395 is 1

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1. What is the GCD of 125, 398, 41, 395?

GCD of 125, 398, 41, 395 is 1

2. Where do I get the detailed procedure to find GCD of 125, 398, 41, 395?

You can find a detailed procedure to find GCD of 125, 398, 41, 395 on our page.

3. How to find GCD of 125, 398, 41, 395 on a calculator?

You can find the GCD of 125, 398, 41, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.