GCD of 293, 234, 693, 505 Calculator

Given Input numbers are 293, 234, 693, 505

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 293, 234, 693, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 234, 693, 505 is 1.

Therefore, GCD of numbers 293, 234, 693, 505 is 1

Given Input Data is 293, 234, 693, 505

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

Prime Factorization of 293 is 293

Prime Factorization of 234 is 2 x 3 x 3 x 13

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

Prime Factorization of 505 is 5 x 101

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, 234) = 68562

GCD(293, 234) = ( 293 x 234 ) / 68562

GCD(293, 234) = 68562 / 68562

GCD(293, 234) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 293, 234, 693, 505 is 1

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1. What is the GCD of 293, 234, 693, 505?

GCD of 293, 234, 693, 505 is 1

2. Where do I get the detailed procedure to find GCD of 293, 234, 693, 505?

You can find a detailed procedure to find GCD of 293, 234, 693, 505 on our page.

3. How to find GCD of 293, 234, 693, 505 on a calculator?

You can find the GCD of 293, 234, 693, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.