GCD of 27, 489, 743, 869 Calculator

Given Input numbers are 27, 489, 743, 869

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 27, 489, 743, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 489, 743, 869 is 1.

Therefore, GCD of numbers 27, 489, 743, 869 is 1

Given Input Data is 27, 489, 743, 869

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 489 is 3 x 163

Prime Factorization of 743 is 743

Prime Factorization of 869 is 11 x 79

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(27, 489) = 4401

GCD(27, 489) = ( 27 x 489 ) / 4401

GCD(27, 489) = 13203 / 4401

GCD(27, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 743

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

LCM(3, 743) = 2229

GCD(3, 743) = ( 3 x 743 ) / 2229

GCD(3, 743) = 2229 / 2229

GCD(3, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 27, 489, 743, 869 is 1

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• GCD of 71, 704, 335, 742
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1. What is the GCD of 27, 489, 743, 869?

GCD of 27, 489, 743, 869 is 1

2. Where do I get the detailed procedure to find GCD of 27, 489, 743, 869?

You can find a detailed procedure to find GCD of 27, 489, 743, 869 on our page.

3. How to find GCD of 27, 489, 743, 869 on a calculator?

You can find the GCD of 27, 489, 743, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.