GCD of 538, 686, 645, 279 Calculator

Given Input numbers are 538, 686, 645, 279

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 538, 686, 645, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 686, 645, 279 is 1.

Therefore, GCD of numbers 538, 686, 645, 279 is 1

Given Input Data is 538, 686, 645, 279

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 279 is 3 x 3 x 31

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(538, 686) = 184534

GCD(538, 686) = ( 538 x 686 ) / 184534

GCD(538, 686) = 369068 / 184534

GCD(538, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 538, 686, 645, 279 is 1

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1. What is the GCD of 538, 686, 645, 279?

GCD of 538, 686, 645, 279 is 1

2. Where do I get the detailed procedure to find GCD of 538, 686, 645, 279?

You can find a detailed procedure to find GCD of 538, 686, 645, 279 on our page.

3. How to find GCD of 538, 686, 645, 279 on a calculator?

You can find the GCD of 538, 686, 645, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.