GCD of 491, 172, 478, 457 Calculator

Given Input numbers are 491, 172, 478, 457

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

Divisors of 491

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

1, 491

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 491, 172, 478, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 172, 478, 457 is 1.

Therefore, GCD of numbers 491, 172, 478, 457 is 1

Given Input Data is 491, 172, 478, 457

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

Prime Factorization of 491 is 491

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 478 is 2 x 239

Prime Factorization of 457 is 457

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(491, 172) = 84452

GCD(491, 172) = ( 491 x 172 ) / 84452

GCD(491, 172) = 84452 / 84452

GCD(491, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 491, 172, 478, 457 is 1

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1. What is the GCD of 491, 172, 478, 457?

GCD of 491, 172, 478, 457 is 1

2. Where do I get the detailed procedure to find GCD of 491, 172, 478, 457?

You can find a detailed procedure to find GCD of 491, 172, 478, 457 on our page.

3. How to find GCD of 491, 172, 478, 457 on a calculator?

You can find the GCD of 491, 172, 478, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.