GCD of 227, 679, 726, 106 Calculator

Given Input numbers are 227, 679, 726, 106

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 227, 679, 726, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 679, 726, 106 is 1.

Therefore, GCD of numbers 227, 679, 726, 106 is 1

Given Input Data is 227, 679, 726, 106

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

Prime Factorization of 227 is 227

Prime Factorization of 679 is 7 x 97

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 106 is 2 x 53

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(227, 679) = 154133

GCD(227, 679) = ( 227 x 679 ) / 154133

GCD(227, 679) = 154133 / 154133

GCD(227, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 227, 679, 726, 106 is 1

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1. What is the GCD of 227, 679, 726, 106?

GCD of 227, 679, 726, 106 is 1

2. Where do I get the detailed procedure to find GCD of 227, 679, 726, 106?

You can find a detailed procedure to find GCD of 227, 679, 726, 106 on our page.

3. How to find GCD of 227, 679, 726, 106 on a calculator?

You can find the GCD of 227, 679, 726, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.