GCD of 546, 909, 445, 853 Calculator

Given Input numbers are 546, 909, 445, 853

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 546, 909, 445, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 909, 445, 853 is 1.

Therefore, GCD of numbers 546, 909, 445, 853 is 1

Given Input Data is 546, 909, 445, 853

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 445 is 5 x 89

Prime Factorization of 853 is 853

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(546, 909) = 165438

GCD(546, 909) = ( 546 x 909 ) / 165438

GCD(546, 909) = 496314 / 165438

GCD(546, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 445

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

LCM(3, 445) = 1335

GCD(3, 445) = ( 3 x 445 ) / 1335

GCD(3, 445) = 1335 / 1335

GCD(3, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 546, 909, 445, 853 is 1

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1. What is the GCD of 546, 909, 445, 853?

GCD of 546, 909, 445, 853 is 1

2. Where do I get the detailed procedure to find GCD of 546, 909, 445, 853?

You can find a detailed procedure to find GCD of 546, 909, 445, 853 on our page.

3. How to find GCD of 546, 909, 445, 853 on a calculator?

You can find the GCD of 546, 909, 445, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.