GCD of 693, 295, 248, 405 Calculator

Given Input numbers are 693, 295, 248, 405

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 295

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

1, 5, 59, 295

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 693, 295, 248, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 295, 248, 405 is 1.

Therefore, GCD of numbers 693, 295, 248, 405 is 1

Given Input Data is 693, 295, 248, 405

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 295 is 5 x 59

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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(693, 295) = 204435

GCD(693, 295) = ( 693 x 295 ) / 204435

GCD(693, 295) = 204435 / 204435

GCD(693, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 693, 295, 248, 405 is 1

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1. What is the GCD of 693, 295, 248, 405?

GCD of 693, 295, 248, 405 is 1

2. Where do I get the detailed procedure to find GCD of 693, 295, 248, 405?

You can find a detailed procedure to find GCD of 693, 295, 248, 405 on our page.

3. How to find GCD of 693, 295, 248, 405 on a calculator?

You can find the GCD of 693, 295, 248, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.