GCD of 849, 390, 563, 375 Calculator

Given Input numbers are 849, 390, 563, 375

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 849, 390, 563, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 390, 563, 375 is 1.

Therefore, GCD of numbers 849, 390, 563, 375 is 1

Given Input Data is 849, 390, 563, 375

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 563 is 563

Prime Factorization of 375 is 3 x 5 x 5 x 5

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, 390) = 110370

GCD(849, 390) = ( 849 x 390 ) / 110370

GCD(849, 390) = 331110 / 110370

GCD(849, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 563

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

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

GCD(3, 563) = 1689 / 1689

GCD(3, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 849, 390, 563, 375 is 1

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1. What is the GCD of 849, 390, 563, 375?

GCD of 849, 390, 563, 375 is 1

2. Where do I get the detailed procedure to find GCD of 849, 390, 563, 375?

You can find a detailed procedure to find GCD of 849, 390, 563, 375 on our page.

3. How to find GCD of 849, 390, 563, 375 on a calculator?

You can find the GCD of 849, 390, 563, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.