GCD of 666, 826, 53, 686 Calculator

Given Input numbers are 666, 826, 53, 686

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

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 666, 826, 53, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 826, 53, 686 is 1.

Therefore, GCD of numbers 666, 826, 53, 686 is 1

Given Input Data is 666, 826, 53, 686

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

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 53 is 53

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(666, 826) = 275058

GCD(666, 826) = ( 666 x 826 ) / 275058

GCD(666, 826) = 550116 / 275058

GCD(666, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 666, 826, 53, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 488, 86, 795
• GCD of 894, 308, 62, 966
• GCD of 598, 339, 68, 942
• GCD of 162, 430, 48, 686
• GCD of 734, 548, 62, 717

1. What is the GCD of 666, 826, 53, 686?

GCD of 666, 826, 53, 686 is 1

2. Where do I get the detailed procedure to find GCD of 666, 826, 53, 686?

You can find a detailed procedure to find GCD of 666, 826, 53, 686 on our page.

3. How to find GCD of 666, 826, 53, 686 on a calculator?

You can find the GCD of 666, 826, 53, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.