GCD of 697, 913, 254 Calculator

Given Input numbers are 697, 913, 254

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 254

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

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 697, 913, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 913, 254 is 1.

Therefore, GCD of numbers 697, 913, 254 is 1

Given Input Data is 697, 913, 254

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 913 is 11 x 83

Prime Factorization of 254 is 2 x 127

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(697, 913) = 636361

GCD(697, 913) = ( 697 x 913 ) / 636361

GCD(697, 913) = 636361 / 636361

GCD(697, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 697, 913, 254 is 1

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1. What is the GCD of 697, 913, 254?

GCD of 697, 913, 254 is 1

2. Where do I get the detailed procedure to find GCD of 697, 913, 254?

You can find a detailed procedure to find GCD of 697, 913, 254 on our page.

3. How to find GCD of 697, 913, 254 on a calculator?

You can find the GCD of 697, 913, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.