GCD of 257, 491, 142, 473 Calculator

Given Input numbers are 257, 491, 142, 473

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 257, 491, 142, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 491, 142, 473 is 1.

Therefore, GCD of numbers 257, 491, 142, 473 is 1

Given Input Data is 257, 491, 142, 473

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

Prime Factorization of 257 is 257

Prime Factorization of 491 is 491

Prime Factorization of 142 is 2 x 71

Prime Factorization of 473 is 11 x 43

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, 491) = 126187

GCD(257, 491) = ( 257 x 491 ) / 126187

GCD(257, 491) = 126187 / 126187

GCD(257, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 257, 491, 142, 473 is 1

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1. What is the GCD of 257, 491, 142, 473?

GCD of 257, 491, 142, 473 is 1

2. Where do I get the detailed procedure to find GCD of 257, 491, 142, 473?

You can find a detailed procedure to find GCD of 257, 491, 142, 473 on our page.

3. How to find GCD of 257, 491, 142, 473 on a calculator?

You can find the GCD of 257, 491, 142, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.