GCD of 997, 742, 306 Calculator

Given Input numbers are 997, 742, 306

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

Divisors of 997

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

1, 997

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 997, 742, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 742, 306 is 1.

Therefore, GCD of numbers 997, 742, 306 is 1

Given Input Data is 997, 742, 306

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

Prime Factorization of 997 is 997

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(997, 742) = 739774

GCD(997, 742) = ( 997 x 742 ) / 739774

GCD(997, 742) = 739774 / 739774

GCD(997, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 997, 742, 306 is 1

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1. What is the GCD of 997, 742, 306?

GCD of 997, 742, 306 is 1

2. Where do I get the detailed procedure to find GCD of 997, 742, 306?

You can find a detailed procedure to find GCD of 997, 742, 306 on our page.

3. How to find GCD of 997, 742, 306 on a calculator?

You can find the GCD of 997, 742, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.