GCD of 109, 843, 66, 626 Calculator

Given Input numbers are 109, 843, 66, 626

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 109, 843, 66, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 843, 66, 626 is 1.

Therefore, GCD of numbers 109, 843, 66, 626 is 1

Given Input Data is 109, 843, 66, 626

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

Prime Factorization of 109 is 109

Prime Factorization of 843 is 3 x 281

Prime Factorization of 66 is 2 x 3 x 11

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(109, 843) = 91887

GCD(109, 843) = ( 109 x 843 ) / 91887

GCD(109, 843) = 91887 / 91887

GCD(109, 843) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 109, 843, 66, 626 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 529, 41, 689
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• GCD of 537, 238, 21, 812

1. What is the GCD of 109, 843, 66, 626?

GCD of 109, 843, 66, 626 is 1

2. Where do I get the detailed procedure to find GCD of 109, 843, 66, 626?

You can find a detailed procedure to find GCD of 109, 843, 66, 626 on our page.

3. How to find GCD of 109, 843, 66, 626 on a calculator?

You can find the GCD of 109, 843, 66, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.