GCD of 284, 852, 709, 538 Calculator

Given Input numbers are 284, 852, 709, 538

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 284, 852, 709, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 852, 709, 538 is 1.

Therefore, GCD of numbers 284, 852, 709, 538 is 1

Given Input Data is 284, 852, 709, 538

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 709 is 709

Prime Factorization of 538 is 2 x 269

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(284, 852) = 852

GCD(284, 852) = ( 284 x 852 ) / 852

GCD(284, 852) = 241968 / 852

GCD(284, 852) = 284

Step2:

Here we consider the GCD from the above i.e. 284 as first number and the next as 709

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

LCM(284, 709) = 201356

GCD(284, 709) = ( 284 x 709 ) / 201356

GCD(284, 709) = 201356 / 201356

GCD(284, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 284, 852, 709, 538 is 1

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1. What is the GCD of 284, 852, 709, 538?

GCD of 284, 852, 709, 538 is 1

2. Where do I get the detailed procedure to find GCD of 284, 852, 709, 538?

You can find a detailed procedure to find GCD of 284, 852, 709, 538 on our page.

3. How to find GCD of 284, 852, 709, 538 on a calculator?

You can find the GCD of 284, 852, 709, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.