GCD of 475, 810, 56, 849 Calculator

Given Input numbers are 475, 810, 56, 849

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 475, 810, 56, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 810, 56, 849 is 1.

Therefore, GCD of numbers 475, 810, 56, 849 is 1

Given Input Data is 475, 810, 56, 849

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 849 is 3 x 283

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(475, 810) = 76950

GCD(475, 810) = ( 475 x 810 ) / 76950

GCD(475, 810) = 384750 / 76950

GCD(475, 810) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 475, 810, 56, 849 is 1

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1. What is the GCD of 475, 810, 56, 849?

GCD of 475, 810, 56, 849 is 1

2. Where do I get the detailed procedure to find GCD of 475, 810, 56, 849?

You can find a detailed procedure to find GCD of 475, 810, 56, 849 on our page.

3. How to find GCD of 475, 810, 56, 849 on a calculator?

You can find the GCD of 475, 810, 56, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.