GCD of 345, 493, 25, 511 Calculator

Given Input numbers are 345, 493, 25, 511

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 345, 493, 25, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 493, 25, 511 is 1.

Therefore, GCD of numbers 345, 493, 25, 511 is 1

Given Input Data is 345, 493, 25, 511

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 493 is 17 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 511 is 7 x 73

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(345, 493) = 170085

GCD(345, 493) = ( 345 x 493 ) / 170085

GCD(345, 493) = 170085 / 170085

GCD(345, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 345, 493, 25, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 119, 79, 707
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• GCD of 873, 477, 33, 231
• GCD of 391, 790, 58, 746
• GCD of 590, 117, 65, 578

1. What is the GCD of 345, 493, 25, 511?

GCD of 345, 493, 25, 511 is 1

2. Where do I get the detailed procedure to find GCD of 345, 493, 25, 511?

You can find a detailed procedure to find GCD of 345, 493, 25, 511 on our page.

3. How to find GCD of 345, 493, 25, 511 on a calculator?

You can find the GCD of 345, 493, 25, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.