GCD of 70, 226, 909, 623 Calculator

Given Input numbers are 70, 226, 909, 623

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 70, 226, 909, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 226, 909, 623 is 1.

Therefore, GCD of numbers 70, 226, 909, 623 is 1

Given Input Data is 70, 226, 909, 623

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 226 is 2 x 113

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 623 is 7 x 89

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(70, 226) = 7910

GCD(70, 226) = ( 70 x 226 ) / 7910

GCD(70, 226) = 15820 / 7910

GCD(70, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 70, 226, 909, 623 is 1

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1. What is the GCD of 70, 226, 909, 623?

GCD of 70, 226, 909, 623 is 1

2. Where do I get the detailed procedure to find GCD of 70, 226, 909, 623?

You can find a detailed procedure to find GCD of 70, 226, 909, 623 on our page.

3. How to find GCD of 70, 226, 909, 623 on a calculator?

You can find the GCD of 70, 226, 909, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.