GCD of 498, 422, 865, 997 Calculator

Given Input numbers are 498, 422, 865, 997

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

Divisors of 498

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

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 498, 422, 865, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 422, 865, 997 is 1.

Therefore, GCD of numbers 498, 422, 865, 997 is 1

Given Input Data is 498, 422, 865, 997

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 422 is 2 x 211

Prime Factorization of 865 is 5 x 173

Prime Factorization of 997 is 997

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(498, 422) = 105078

GCD(498, 422) = ( 498 x 422 ) / 105078

GCD(498, 422) = 210156 / 105078

GCD(498, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 865

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

LCM(2, 865) = 1730

GCD(2, 865) = ( 2 x 865 ) / 1730

GCD(2, 865) = 1730 / 1730

GCD(2, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 498, 422, 865, 997 is 1

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1. What is the GCD of 498, 422, 865, 997?

GCD of 498, 422, 865, 997 is 1

2. Where do I get the detailed procedure to find GCD of 498, 422, 865, 997?

You can find a detailed procedure to find GCD of 498, 422, 865, 997 on our page.

3. How to find GCD of 498, 422, 865, 997 on a calculator?

You can find the GCD of 498, 422, 865, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.