GCD of 513, 442, 78, 867 Calculator

Given Input numbers are 513, 442, 78, 867

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 513, 442, 78, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 442, 78, 867 is 1.

Therefore, GCD of numbers 513, 442, 78, 867 is 1

Given Input Data is 513, 442, 78, 867

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 867 is 3 x 17 x 17

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(513, 442) = 226746

GCD(513, 442) = ( 513 x 442 ) / 226746

GCD(513, 442) = 226746 / 226746

GCD(513, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 513, 442, 78, 867 is 1

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• GCD of 704, 506, 99, 364
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1. What is the GCD of 513, 442, 78, 867?

GCD of 513, 442, 78, 867 is 1

2. Where do I get the detailed procedure to find GCD of 513, 442, 78, 867?

You can find a detailed procedure to find GCD of 513, 442, 78, 867 on our page.

3. How to find GCD of 513, 442, 78, 867 on a calculator?

You can find the GCD of 513, 442, 78, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.