GCD of 844, 504, 457, 998 Calculator

Given Input numbers are 844, 504, 457, 998

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 844, 504, 457, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 504, 457, 998 is 1.

Therefore, GCD of numbers 844, 504, 457, 998 is 1

Given Input Data is 844, 504, 457, 998

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 457 is 457

Prime Factorization of 998 is 2 x 499

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(844, 504) = 106344

GCD(844, 504) = ( 844 x 504 ) / 106344

GCD(844, 504) = 425376 / 106344

GCD(844, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 457

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

LCM(4, 457) = 1828

GCD(4, 457) = ( 4 x 457 ) / 1828

GCD(4, 457) = 1828 / 1828

GCD(4, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 844, 504, 457, 998 is 1

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1. What is the GCD of 844, 504, 457, 998?

GCD of 844, 504, 457, 998 is 1

2. Where do I get the detailed procedure to find GCD of 844, 504, 457, 998?

You can find a detailed procedure to find GCD of 844, 504, 457, 998 on our page.

3. How to find GCD of 844, 504, 457, 998 on a calculator?

You can find the GCD of 844, 504, 457, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.