GCD of 504, 437, 55, 874 Calculator

Given Input numbers are 504, 437, 55, 874

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

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 504, 437, 55, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 437, 55, 874 is 1.

Therefore, GCD of numbers 504, 437, 55, 874 is 1

Given Input Data is 504, 437, 55, 874

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

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 55 is 5 x 11

Prime Factorization of 874 is 2 x 19 x 23

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(504, 437) = 220248

GCD(504, 437) = ( 504 x 437 ) / 220248

GCD(504, 437) = 220248 / 220248

GCD(504, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 504, 437, 55, 874 is 1

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1. What is the GCD of 504, 437, 55, 874?

GCD of 504, 437, 55, 874 is 1

2. Where do I get the detailed procedure to find GCD of 504, 437, 55, 874?

You can find a detailed procedure to find GCD of 504, 437, 55, 874 on our page.

3. How to find GCD of 504, 437, 55, 874 on a calculator?

You can find the GCD of 504, 437, 55, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.