GCD of 898, 254, 125 Calculator

Given Input numbers are 898, 254, 125

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 125

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

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 898, 254, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 254, 125 is 1.

Therefore, GCD of numbers 898, 254, 125 is 1

Given Input Data is 898, 254, 125

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 254 is 2 x 127

Prime Factorization of 125 is 5 x 5 x 5

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(898, 254) = 114046

GCD(898, 254) = ( 898 x 254 ) / 114046

GCD(898, 254) = 228092 / 114046

GCD(898, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

GCD of 898, 254, 125 is 1

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1. What is the GCD of 898, 254, 125?

GCD of 898, 254, 125 is 1

2. Where do I get the detailed procedure to find GCD of 898, 254, 125?

You can find a detailed procedure to find GCD of 898, 254, 125 on our page.

3. How to find GCD of 898, 254, 125 on a calculator?

You can find the GCD of 898, 254, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.