GCD of 51, 459, 699, 626 Calculator

Given Input numbers are 51, 459, 699, 626

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 51, 459, 699, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 459, 699, 626 is 1.

Therefore, GCD of numbers 51, 459, 699, 626 is 1

Given Input Data is 51, 459, 699, 626

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 699 is 3 x 233

Prime Factorization of 626 is 2 x 313

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(51, 459) = 459

GCD(51, 459) = ( 51 x 459 ) / 459

GCD(51, 459) = 23409 / 459

GCD(51, 459) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 699

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

LCM(51, 699) = 11883

GCD(51, 699) = ( 51 x 699 ) / 11883

GCD(51, 699) = 35649 / 11883

GCD(51, 699) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 626

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

LCM(3, 626) = 1878

GCD(3, 626) = ( 3 x 626 ) / 1878

GCD(3, 626) = 1878 / 1878

GCD(3, 626) = 1

GCD of 51, 459, 699, 626 is 1

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• GCD of 57, 860, 298, 866
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1. What is the GCD of 51, 459, 699, 626?

GCD of 51, 459, 699, 626 is 1

2. Where do I get the detailed procedure to find GCD of 51, 459, 699, 626?

You can find a detailed procedure to find GCD of 51, 459, 699, 626 on our page.

3. How to find GCD of 51, 459, 699, 626 on a calculator?

You can find the GCD of 51, 459, 699, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.