GCD of 304, 962, 34, 509 Calculator

Given Input numbers are 304, 962, 34, 509

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 304, 962, 34, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 962, 34, 509 is 1.

Therefore, GCD of numbers 304, 962, 34, 509 is 1

Given Input Data is 304, 962, 34, 509

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 34 is 2 x 17

Prime Factorization of 509 is 509

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(304, 962) = 146224

GCD(304, 962) = ( 304 x 962 ) / 146224

GCD(304, 962) = 292448 / 146224

GCD(304, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

GCD of 304, 962, 34, 509 is 1

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• GCD of 427, 660, 87, 872
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• GCD of 143, 761, 93, 460

1. What is the GCD of 304, 962, 34, 509?

GCD of 304, 962, 34, 509 is 1

2. Where do I get the detailed procedure to find GCD of 304, 962, 34, 509?

You can find a detailed procedure to find GCD of 304, 962, 34, 509 on our page.

3. How to find GCD of 304, 962, 34, 509 on a calculator?

You can find the GCD of 304, 962, 34, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.