GCD of 832, 431, 458, 308 Calculator

Given Input numbers are 832, 431, 458, 308

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 458

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

1, 2, 229, 458

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 832, 431, 458, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 431, 458, 308 is 1.

Therefore, GCD of numbers 832, 431, 458, 308 is 1

Given Input Data is 832, 431, 458, 308

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 431 is 431

Prime Factorization of 458 is 2 x 229

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(832, 431) = 358592

GCD(832, 431) = ( 832 x 431 ) / 358592

GCD(832, 431) = 358592 / 358592

GCD(832, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 832, 431, 458, 308 is 1

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1. What is the GCD of 832, 431, 458, 308?

GCD of 832, 431, 458, 308 is 1

2. Where do I get the detailed procedure to find GCD of 832, 431, 458, 308?

You can find a detailed procedure to find GCD of 832, 431, 458, 308 on our page.

3. How to find GCD of 832, 431, 458, 308 on a calculator?

You can find the GCD of 832, 431, 458, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.