GCD of 901, 717, 198, 269 Calculator

Given Input numbers are 901, 717, 198, 269

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 901, 717, 198, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 717, 198, 269 is 1.

Therefore, GCD of numbers 901, 717, 198, 269 is 1

Given Input Data is 901, 717, 198, 269

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 717 is 3 x 239

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 269 is 269

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(901, 717) = 646017

GCD(901, 717) = ( 901 x 717 ) / 646017

GCD(901, 717) = 646017 / 646017

GCD(901, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 901, 717, 198, 269 is 1

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1. What is the GCD of 901, 717, 198, 269?

GCD of 901, 717, 198, 269 is 1

2. Where do I get the detailed procedure to find GCD of 901, 717, 198, 269?

You can find a detailed procedure to find GCD of 901, 717, 198, 269 on our page.

3. How to find GCD of 901, 717, 198, 269 on a calculator?

You can find the GCD of 901, 717, 198, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.