GCD of 458, 813, 160, 823 Calculator

Given Input numbers are 458, 813, 160, 823

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 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 458, 813, 160, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 813, 160, 823 is 1.

Therefore, GCD of numbers 458, 813, 160, 823 is 1

Given Input Data is 458, 813, 160, 823

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 813 is 3 x 271

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 823 is 823

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, 813) = 372354

GCD(458, 813) = ( 458 x 813 ) / 372354

GCD(458, 813) = 372354 / 372354

GCD(458, 813) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 458, 813, 160, 823 is 1

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1. What is the GCD of 458, 813, 160, 823?

GCD of 458, 813, 160, 823 is 1

2. Where do I get the detailed procedure to find GCD of 458, 813, 160, 823?

You can find a detailed procedure to find GCD of 458, 813, 160, 823 on our page.

3. How to find GCD of 458, 813, 160, 823 on a calculator?

You can find the GCD of 458, 813, 160, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.