GCD of 638, 143, 514 Calculator

Given Input numbers are 638, 143, 514

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

Divisors of 638

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

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 638, 143, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 143, 514 is 1.

Therefore, GCD of numbers 638, 143, 514 is 1

Given Input Data is 638, 143, 514

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 143 is 11 x 13

Prime Factorization of 514 is 2 x 257

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(638, 143) = 8294

GCD(638, 143) = ( 638 x 143 ) / 8294

GCD(638, 143) = 91234 / 8294

GCD(638, 143) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 514

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

LCM(11, 514) = 5654

GCD(11, 514) = ( 11 x 514 ) / 5654

GCD(11, 514) = 5654 / 5654

GCD(11, 514) = 1

GCD of 638, 143, 514 is 1

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1. What is the GCD of 638, 143, 514?

GCD of 638, 143, 514 is 1

2. Where do I get the detailed procedure to find GCD of 638, 143, 514?

You can find a detailed procedure to find GCD of 638, 143, 514 on our page.

3. How to find GCD of 638, 143, 514 on a calculator?

You can find the GCD of 638, 143, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.