GCD of 693, 309, 29, 266 Calculator

Given Input numbers are 693, 309, 29, 266

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 266

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

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

Greatest Common Divisior

We found the divisors of 693, 309, 29, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 309, 29, 266 is 1.

Therefore, GCD of numbers 693, 309, 29, 266 is 1

Given Input Data is 693, 309, 29, 266

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 309 is 3 x 103

Prime Factorization of 29 is 29

Prime Factorization of 266 is 2 x 7 x 19

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(693, 309) = 71379

GCD(693, 309) = ( 693 x 309 ) / 71379

GCD(693, 309) = 214137 / 71379

GCD(693, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 693, 309, 29, 266 is 1

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• GCD of 237, 155, 47, 426
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1. What is the GCD of 693, 309, 29, 266?

GCD of 693, 309, 29, 266 is 1

2. Where do I get the detailed procedure to find GCD of 693, 309, 29, 266?

You can find a detailed procedure to find GCD of 693, 309, 29, 266 on our page.

3. How to find GCD of 693, 309, 29, 266 on a calculator?

You can find the GCD of 693, 309, 29, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.