GCD of 896, 534, 13, 820 Calculator

Given Input numbers are 896, 534, 13, 820

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 13

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

1, 13

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 896, 534, 13, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 534, 13, 820 is 1.

Therefore, GCD of numbers 896, 534, 13, 820 is 1

Given Input Data is 896, 534, 13, 820

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 13 is 13

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(896, 534) = 239232

GCD(896, 534) = ( 896 x 534 ) / 239232

GCD(896, 534) = 478464 / 239232

GCD(896, 534) = 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 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 896, 534, 13, 820 is 1

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1. What is the GCD of 896, 534, 13, 820?

GCD of 896, 534, 13, 820 is 1

2. Where do I get the detailed procedure to find GCD of 896, 534, 13, 820?

You can find a detailed procedure to find GCD of 896, 534, 13, 820 on our page.

3. How to find GCD of 896, 534, 13, 820 on a calculator?

You can find the GCD of 896, 534, 13, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.