GCD of 496, 873, 635, 470 Calculator

Given Input numbers are 496, 873, 635, 470

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 496, 873, 635, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 873, 635, 470 is 1.

Therefore, GCD of numbers 496, 873, 635, 470 is 1

Given Input Data is 496, 873, 635, 470

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 635 is 5 x 127

Prime Factorization of 470 is 2 x 5 x 47

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(496, 873) = 433008

GCD(496, 873) = ( 496 x 873 ) / 433008

GCD(496, 873) = 433008 / 433008

GCD(496, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 496, 873, 635, 470 is 1

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1. What is the GCD of 496, 873, 635, 470?

GCD of 496, 873, 635, 470 is 1

2. Where do I get the detailed procedure to find GCD of 496, 873, 635, 470?

You can find a detailed procedure to find GCD of 496, 873, 635, 470 on our page.

3. How to find GCD of 496, 873, 635, 470 on a calculator?

You can find the GCD of 496, 873, 635, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.