GCD of 293, 697, 37, 763 Calculator

Given Input numbers are 293, 697, 37, 763

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 293, 697, 37, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 697, 37, 763 is 1.

Therefore, GCD of numbers 293, 697, 37, 763 is 1

Given Input Data is 293, 697, 37, 763

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

Prime Factorization of 293 is 293

Prime Factorization of 697 is 17 x 41

Prime Factorization of 37 is 37

Prime Factorization of 763 is 7 x 109

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, 697) = 204221

GCD(293, 697) = ( 293 x 697 ) / 204221

GCD(293, 697) = 204221 / 204221

GCD(293, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 293, 697, 37, 763 is 1

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1. What is the GCD of 293, 697, 37, 763?

GCD of 293, 697, 37, 763 is 1

2. Where do I get the detailed procedure to find GCD of 293, 697, 37, 763?

You can find a detailed procedure to find GCD of 293, 697, 37, 763 on our page.

3. How to find GCD of 293, 697, 37, 763 on a calculator?

You can find the GCD of 293, 697, 37, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.