GCD of 269, 634, 31, 491 Calculator

Given Input numbers are 269, 634, 31, 491

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 269, 634, 31, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 634, 31, 491 is 1.

Therefore, GCD of numbers 269, 634, 31, 491 is 1

Given Input Data is 269, 634, 31, 491

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

Prime Factorization of 269 is 269

Prime Factorization of 634 is 2 x 317

Prime Factorization of 31 is 31

Prime Factorization of 491 is 491

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(269, 634) = 170546

GCD(269, 634) = ( 269 x 634 ) / 170546

GCD(269, 634) = 170546 / 170546

GCD(269, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 269, 634, 31, 491 is 1

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• GCD of 362, 878, 31, 333
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1. What is the GCD of 269, 634, 31, 491?

GCD of 269, 634, 31, 491 is 1

2. Where do I get the detailed procedure to find GCD of 269, 634, 31, 491?

You can find a detailed procedure to find GCD of 269, 634, 31, 491 on our page.

3. How to find GCD of 269, 634, 31, 491 on a calculator?

You can find the GCD of 269, 634, 31, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.