GCD of 449, 814, 958 Calculator

Given Input numbers are 449, 814, 958

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 449, 814, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 814, 958 is 1.

Therefore, GCD of numbers 449, 814, 958 is 1

Given Input Data is 449, 814, 958

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

Prime Factorization of 449 is 449

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 958 is 2 x 479

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(449, 814) = 365486

GCD(449, 814) = ( 449 x 814 ) / 365486

GCD(449, 814) = 365486 / 365486

GCD(449, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 449, 814, 958 is 1

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1. What is the GCD of 449, 814, 958?

GCD of 449, 814, 958 is 1

2. Where do I get the detailed procedure to find GCD of 449, 814, 958?

You can find a detailed procedure to find GCD of 449, 814, 958 on our page.

3. How to find GCD of 449, 814, 958 on a calculator?

You can find the GCD of 449, 814, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.