GCD of 856, 543, 513, 638 Calculator

Given Input numbers are 856, 543, 513, 638

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 856, 543, 513, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 543, 513, 638 is 1.

Therefore, GCD of numbers 856, 543, 513, 638 is 1

Given Input Data is 856, 543, 513, 638

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 543 is 3 x 181

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

Prime Factorization of 638 is 2 x 11 x 29

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(856, 543) = 464808

GCD(856, 543) = ( 856 x 543 ) / 464808

GCD(856, 543) = 464808 / 464808

GCD(856, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 856, 543, 513, 638 is 1

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1. What is the GCD of 856, 543, 513, 638?

GCD of 856, 543, 513, 638 is 1

2. Where do I get the detailed procedure to find GCD of 856, 543, 513, 638?

You can find a detailed procedure to find GCD of 856, 543, 513, 638 on our page.

3. How to find GCD of 856, 543, 513, 638 on a calculator?

You can find the GCD of 856, 543, 513, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.