GCD of 268, 306, 36, 697 Calculator

Given Input numbers are 268, 306, 36, 697

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 268, 306, 36, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 306, 36, 697 is 1.

Therefore, GCD of numbers 268, 306, 36, 697 is 1

Given Input Data is 268, 306, 36, 697

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

Prime Factorization of 268 is 2 x 2 x 67

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(268, 306) = 41004

GCD(268, 306) = ( 268 x 306 ) / 41004

GCD(268, 306) = 82008 / 41004

GCD(268, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 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 268, 306, 36, 697 is 1

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1. What is the GCD of 268, 306, 36, 697?

GCD of 268, 306, 36, 697 is 1

2. Where do I get the detailed procedure to find GCD of 268, 306, 36, 697?

You can find a detailed procedure to find GCD of 268, 306, 36, 697 on our page.

3. How to find GCD of 268, 306, 36, 697 on a calculator?

You can find the GCD of 268, 306, 36, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.