GCD of 497, 231, 346, 867 Calculator

Given Input numbers are 497, 231, 346, 867

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 497, 231, 346, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 231, 346, 867 is 1.

Therefore, GCD of numbers 497, 231, 346, 867 is 1

Given Input Data is 497, 231, 346, 867

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 346 is 2 x 173

Prime Factorization of 867 is 3 x 17 x 17

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, 231) = 16401

GCD(497, 231) = ( 497 x 231 ) / 16401

GCD(497, 231) = 114807 / 16401

GCD(497, 231) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 346

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

LCM(7, 346) = 2422

GCD(7, 346) = ( 7 x 346 ) / 2422

GCD(7, 346) = 2422 / 2422

GCD(7, 346) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 497, 231, 346, 867 is 1

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1. What is the GCD of 497, 231, 346, 867?

GCD of 497, 231, 346, 867 is 1

2. Where do I get the detailed procedure to find GCD of 497, 231, 346, 867?

You can find a detailed procedure to find GCD of 497, 231, 346, 867 on our page.

3. How to find GCD of 497, 231, 346, 867 on a calculator?

You can find the GCD of 497, 231, 346, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.