GCD of 196, 365, 909 Calculator

Given Input numbers are 196, 365, 909

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 909

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

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 196, 365, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 365, 909 is 1.

Therefore, GCD of numbers 196, 365, 909 is 1

Given Input Data is 196, 365, 909

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 365 is 5 x 73

Prime Factorization of 909 is 3 x 3 x 101

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(196, 365) = 71540

GCD(196, 365) = ( 196 x 365 ) / 71540

GCD(196, 365) = 71540 / 71540

GCD(196, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 196, 365, 909 is 1

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1. What is the GCD of 196, 365, 909?

GCD of 196, 365, 909 is 1

2. Where do I get the detailed procedure to find GCD of 196, 365, 909?

You can find a detailed procedure to find GCD of 196, 365, 909 on our page.

3. How to find GCD of 196, 365, 909 on a calculator?

You can find the GCD of 196, 365, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.