GCD of 454, 528, 13, 838 Calculator

Given Input numbers are 454, 528, 13, 838

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 454, 528, 13, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 528, 13, 838 is 1.

Therefore, GCD of numbers 454, 528, 13, 838 is 1

Given Input Data is 454, 528, 13, 838

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 13 is 13

Prime Factorization of 838 is 2 x 419

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(454, 528) = 119856

GCD(454, 528) = ( 454 x 528 ) / 119856

GCD(454, 528) = 239712 / 119856

GCD(454, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 454, 528, 13, 838 is 1

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• GCD of 236, 200, 57, 463
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• GCD of 686, 179, 42, 214

1. What is the GCD of 454, 528, 13, 838?

GCD of 454, 528, 13, 838 is 1

2. Where do I get the detailed procedure to find GCD of 454, 528, 13, 838?

You can find a detailed procedure to find GCD of 454, 528, 13, 838 on our page.

3. How to find GCD of 454, 528, 13, 838 on a calculator?

You can find the GCD of 454, 528, 13, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.