GCD of 257, 902, 427 Calculator

Given Input numbers are 257, 902, 427

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 257, 902, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 902, 427 is 1.

Therefore, GCD of numbers 257, 902, 427 is 1

Given Input Data is 257, 902, 427

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

Prime Factorization of 257 is 257

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 427 is 7 x 61

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(257, 902) = 231814

GCD(257, 902) = ( 257 x 902 ) / 231814

GCD(257, 902) = 231814 / 231814

GCD(257, 902) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 257, 902, 427 is 1

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1. What is the GCD of 257, 902, 427?

GCD of 257, 902, 427 is 1

2. Where do I get the detailed procedure to find GCD of 257, 902, 427?

You can find a detailed procedure to find GCD of 257, 902, 427 on our page.

3. How to find GCD of 257, 902, 427 on a calculator?

You can find the GCD of 257, 902, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.