GCD of 878, 448, 899, 853 Calculator

Given Input numbers are 878, 448, 899, 853

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 878, 448, 899, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 448, 899, 853 is 1.

Therefore, GCD of numbers 878, 448, 899, 853 is 1

Given Input Data is 878, 448, 899, 853

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 899 is 29 x 31

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(878, 448) = 196672

GCD(878, 448) = ( 878 x 448 ) / 196672

GCD(878, 448) = 393344 / 196672

GCD(878, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 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 878, 448, 899, 853 is 1

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1. What is the GCD of 878, 448, 899, 853?

GCD of 878, 448, 899, 853 is 1

2. Where do I get the detailed procedure to find GCD of 878, 448, 899, 853?

You can find a detailed procedure to find GCD of 878, 448, 899, 853 on our page.

3. How to find GCD of 878, 448, 899, 853 on a calculator?

You can find the GCD of 878, 448, 899, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.