GCD of 458, 712, 71, 504 Calculator

Given Input numbers are 458, 712, 71, 504

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 458, 712, 71, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 712, 71, 504 is 1.

Therefore, GCD of numbers 458, 712, 71, 504 is 1

Given Input Data is 458, 712, 71, 504

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 71 is 71

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(458, 712) = 163048

GCD(458, 712) = ( 458 x 712 ) / 163048

GCD(458, 712) = 326096 / 163048

GCD(458, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 458, 712, 71, 504 is 1

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1. What is the GCD of 458, 712, 71, 504?

GCD of 458, 712, 71, 504 is 1

2. Where do I get the detailed procedure to find GCD of 458, 712, 71, 504?

You can find a detailed procedure to find GCD of 458, 712, 71, 504 on our page.

3. How to find GCD of 458, 712, 71, 504 on a calculator?

You can find the GCD of 458, 712, 71, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.