GCD of 849, 315, 243, 628 Calculator

Given Input numbers are 849, 315, 243, 628

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 849, 315, 243, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 315, 243, 628 is 1.

Therefore, GCD of numbers 849, 315, 243, 628 is 1

Given Input Data is 849, 315, 243, 628

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 628 is 2 x 2 x 157

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(849, 315) = 89145

GCD(849, 315) = ( 849 x 315 ) / 89145

GCD(849, 315) = 267435 / 89145

GCD(849, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 628

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

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

GCD(3, 628) = 1884 / 1884

GCD(3, 628) = 1

GCD of 849, 315, 243, 628 is 1

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1. What is the GCD of 849, 315, 243, 628?

GCD of 849, 315, 243, 628 is 1

2. Where do I get the detailed procedure to find GCD of 849, 315, 243, 628?

You can find a detailed procedure to find GCD of 849, 315, 243, 628 on our page.

3. How to find GCD of 849, 315, 243, 628 on a calculator?

You can find the GCD of 849, 315, 243, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.