GCD of 878, 413, 580, 499 Calculator

Given Input numbers are 878, 413, 580, 499

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 878, 413, 580, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 413, 580, 499 is 1.

Therefore, GCD of numbers 878, 413, 580, 499 is 1

Given Input Data is 878, 413, 580, 499

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 413 is 7 x 59

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 499 is 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(878, 413) = 362614

GCD(878, 413) = ( 878 x 413 ) / 362614

GCD(878, 413) = 362614 / 362614

GCD(878, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 878, 413, 580, 499 is 1

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1. What is the GCD of 878, 413, 580, 499?

GCD of 878, 413, 580, 499 is 1

2. Where do I get the detailed procedure to find GCD of 878, 413, 580, 499?

You can find a detailed procedure to find GCD of 878, 413, 580, 499 on our page.

3. How to find GCD of 878, 413, 580, 499 on a calculator?

You can find the GCD of 878, 413, 580, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.