GCD of 248, 110, 38, 697 Calculator

Given Input numbers are 248, 110, 38, 697

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

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 697

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

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 248, 110, 38, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 110, 38, 697 is 1.

Therefore, GCD of numbers 248, 110, 38, 697 is 1

Given Input Data is 248, 110, 38, 697

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

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 697 is 17 x 41

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(248, 110) = 13640

GCD(248, 110) = ( 248 x 110 ) / 13640

GCD(248, 110) = 27280 / 13640

GCD(248, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 248, 110, 38, 697 is 1

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1. What is the GCD of 248, 110, 38, 697?

GCD of 248, 110, 38, 697 is 1

2. Where do I get the detailed procedure to find GCD of 248, 110, 38, 697?

You can find a detailed procedure to find GCD of 248, 110, 38, 697 on our page.

3. How to find GCD of 248, 110, 38, 697 on a calculator?

You can find the GCD of 248, 110, 38, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.