GCD of 814, 501, 237, 638 Calculator

Given Input numbers are 814, 501, 237, 638

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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 814, 501, 237, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 501, 237, 638 is 1.

Therefore, GCD of numbers 814, 501, 237, 638 is 1

Given Input Data is 814, 501, 237, 638

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 501 is 3 x 167

Prime Factorization of 237 is 3 x 79

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(814, 501) = 407814

GCD(814, 501) = ( 814 x 501 ) / 407814

GCD(814, 501) = 407814 / 407814

GCD(814, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 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 814, 501, 237, 638 is 1

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1. What is the GCD of 814, 501, 237, 638?

GCD of 814, 501, 237, 638 is 1

2. Where do I get the detailed procedure to find GCD of 814, 501, 237, 638?

You can find a detailed procedure to find GCD of 814, 501, 237, 638 on our page.

3. How to find GCD of 814, 501, 237, 638 on a calculator?

You can find the GCD of 814, 501, 237, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.