GCD of 266, 106, 697, 763 Calculator

Given Input numbers are 266, 106, 697, 763

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 697

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

1, 17, 41, 697

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 266, 106, 697, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 106, 697, 763 is 1.

Therefore, GCD of numbers 266, 106, 697, 763 is 1

Given Input Data is 266, 106, 697, 763

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 106 is 2 x 53

Prime Factorization of 697 is 17 x 41

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(266, 106) = 14098

GCD(266, 106) = ( 266 x 106 ) / 14098

GCD(266, 106) = 28196 / 14098

GCD(266, 106) = 2

Step2:

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

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 266, 106, 697, 763 is 1

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1. What is the GCD of 266, 106, 697, 763?

GCD of 266, 106, 697, 763 is 1

2. Where do I get the detailed procedure to find GCD of 266, 106, 697, 763?

You can find a detailed procedure to find GCD of 266, 106, 697, 763 on our page.

3. How to find GCD of 266, 106, 697, 763 on a calculator?

You can find the GCD of 266, 106, 697, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.