GCD of 509, 918, 162, 295 Calculator

Given Input numbers are 509, 918, 162, 295

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

Divisors of 509

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

1, 509

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 509, 918, 162, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 918, 162, 295 is 1.

Therefore, GCD of numbers 509, 918, 162, 295 is 1

Given Input Data is 509, 918, 162, 295

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

Prime Factorization of 509 is 509

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 295 is 5 x 59

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(509, 918) = 467262

GCD(509, 918) = ( 509 x 918 ) / 467262

GCD(509, 918) = 467262 / 467262

GCD(509, 918) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 509, 918, 162, 295 is 1

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1. What is the GCD of 509, 918, 162, 295?

GCD of 509, 918, 162, 295 is 1

2. Where do I get the detailed procedure to find GCD of 509, 918, 162, 295?

You can find a detailed procedure to find GCD of 509, 918, 162, 295 on our page.

3. How to find GCD of 509, 918, 162, 295 on a calculator?

You can find the GCD of 509, 918, 162, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.