GCD of 873, 316, 916, 498 Calculator

Given Input numbers are 873, 316, 916, 498

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

Divisors of 873

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

1, 3, 9, 97, 291, 873

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 873, 316, 916, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 316, 916, 498 is 1.

Therefore, GCD of numbers 873, 316, 916, 498 is 1

Given Input Data is 873, 316, 916, 498

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 498 is 2 x 3 x 83

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(873, 316) = 275868

GCD(873, 316) = ( 873 x 316 ) / 275868

GCD(873, 316) = 275868 / 275868

GCD(873, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 873, 316, 916, 498 is 1

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• GCD of 434, 588, 366, 563
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1. What is the GCD of 873, 316, 916, 498?

GCD of 873, 316, 916, 498 is 1

2. Where do I get the detailed procedure to find GCD of 873, 316, 916, 498?

You can find a detailed procedure to find GCD of 873, 316, 916, 498 on our page.

3. How to find GCD of 873, 316, 916, 498 on a calculator?

You can find the GCD of 873, 316, 916, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.