GCD of 266, 314, 49, 717 Calculator

Given Input numbers are 266, 314, 49, 717

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 266, 314, 49, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 314, 49, 717 is 1.

Therefore, GCD of numbers 266, 314, 49, 717 is 1

Given Input Data is 266, 314, 49, 717

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 314 is 2 x 157

Prime Factorization of 49 is 7 x 7

Prime Factorization of 717 is 3 x 239

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(266, 314) = 41762

GCD(266, 314) = ( 266 x 314 ) / 41762

GCD(266, 314) = 83524 / 41762

GCD(266, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 266, 314, 49, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 278, 73, 731
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• GCD of 603, 531, 78, 998
• GCD of 730, 641, 38, 744

1. What is the GCD of 266, 314, 49, 717?

GCD of 266, 314, 49, 717 is 1

2. Where do I get the detailed procedure to find GCD of 266, 314, 49, 717?

You can find a detailed procedure to find GCD of 266, 314, 49, 717 on our page.

3. How to find GCD of 266, 314, 49, 717 on a calculator?

You can find the GCD of 266, 314, 49, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.