GCD of 289, 241, 997, 763 Calculator

Given Input numbers are 289, 241, 997, 763

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

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 289, 241, 997, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 241, 997, 763 is 1.

Therefore, GCD of numbers 289, 241, 997, 763 is 1

Given Input Data is 289, 241, 997, 763

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 241 is 241

Prime Factorization of 997 is 997

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(289, 241) = 69649

GCD(289, 241) = ( 289 x 241 ) / 69649

GCD(289, 241) = 69649 / 69649

GCD(289, 241) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 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 289, 241, 997, 763 is 1

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1. What is the GCD of 289, 241, 997, 763?

GCD of 289, 241, 997, 763 is 1

2. Where do I get the detailed procedure to find GCD of 289, 241, 997, 763?

You can find a detailed procedure to find GCD of 289, 241, 997, 763 on our page.

3. How to find GCD of 289, 241, 997, 763 on a calculator?

You can find the GCD of 289, 241, 997, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.