GCD of 497, 381, 90, 872 Calculator

Given Input numbers are 497, 381, 90, 872

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 497, 381, 90, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 381, 90, 872 is 1.

Therefore, GCD of numbers 497, 381, 90, 872 is 1

Given Input Data is 497, 381, 90, 872

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 381 is 3 x 127

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(497, 381) = 189357

GCD(497, 381) = ( 497 x 381 ) / 189357

GCD(497, 381) = 189357 / 189357

GCD(497, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 497, 381, 90, 872 is 1

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1. What is the GCD of 497, 381, 90, 872?

GCD of 497, 381, 90, 872 is 1

2. Where do I get the detailed procedure to find GCD of 497, 381, 90, 872?

You can find a detailed procedure to find GCD of 497, 381, 90, 872 on our page.

3. How to find GCD of 497, 381, 90, 872 on a calculator?

You can find the GCD of 497, 381, 90, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.