GCD of 145, 898, 314 Calculator

Given Input numbers are 145, 898, 314

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 898

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

1, 2, 449, 898

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 145, 898, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 898, 314 is 1.

Therefore, GCD of numbers 145, 898, 314 is 1

Given Input Data is 145, 898, 314

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 898 is 2 x 449

Prime Factorization of 314 is 2 x 157

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(145, 898) = 130210

GCD(145, 898) = ( 145 x 898 ) / 130210

GCD(145, 898) = 130210 / 130210

GCD(145, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 145, 898, 314 is 1

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1. What is the GCD of 145, 898, 314?

GCD of 145, 898, 314 is 1

2. Where do I get the detailed procedure to find GCD of 145, 898, 314?

You can find a detailed procedure to find GCD of 145, 898, 314 on our page.

3. How to find GCD of 145, 898, 314 on a calculator?

You can find the GCD of 145, 898, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.