GCD of 169, 491, 509, 923 Calculator

Given Input numbers are 169, 491, 509, 923

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 491

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

1, 491

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 169, 491, 509, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 491, 509, 923 is 1.

Therefore, GCD of numbers 169, 491, 509, 923 is 1

Given Input Data is 169, 491, 509, 923

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 491 is 491

Prime Factorization of 509 is 509

Prime Factorization of 923 is 13 x 71

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(169, 491) = 82979

GCD(169, 491) = ( 169 x 491 ) / 82979

GCD(169, 491) = 82979 / 82979

GCD(169, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 169, 491, 509, 923 is 1

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1. What is the GCD of 169, 491, 509, 923?

GCD of 169, 491, 509, 923 is 1

2. Where do I get the detailed procedure to find GCD of 169, 491, 509, 923?

You can find a detailed procedure to find GCD of 169, 491, 509, 923 on our page.

3. How to find GCD of 169, 491, 509, 923 on a calculator?

You can find the GCD of 169, 491, 509, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.