GCD of 293, 508, 42, 264 Calculator

Given Input numbers are 293, 508, 42, 264

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

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 293, 508, 42, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 508, 42, 264 is 1.

Therefore, GCD of numbers 293, 508, 42, 264 is 1

Given Input Data is 293, 508, 42, 264

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

Prime Factorization of 293 is 293

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(293, 508) = 148844

GCD(293, 508) = ( 293 x 508 ) / 148844

GCD(293, 508) = 148844 / 148844

GCD(293, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 293, 508, 42, 264 is 1

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1. What is the GCD of 293, 508, 42, 264?

GCD of 293, 508, 42, 264 is 1

2. Where do I get the detailed procedure to find GCD of 293, 508, 42, 264?

You can find a detailed procedure to find GCD of 293, 508, 42, 264 on our page.

3. How to find GCD of 293, 508, 42, 264 on a calculator?

You can find the GCD of 293, 508, 42, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.