GCD of 471, 269, 106, 353 Calculator

Given Input numbers are 471, 269, 106, 353

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 269

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

1, 269

Divisors of 106

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

1, 2, 53, 106

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 471, 269, 106, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 269, 106, 353 is 1.

Therefore, GCD of numbers 471, 269, 106, 353 is 1

Given Input Data is 471, 269, 106, 353

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 269 is 269

Prime Factorization of 106 is 2 x 53

Prime Factorization of 353 is 353

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(471, 269) = 126699

GCD(471, 269) = ( 471 x 269 ) / 126699

GCD(471, 269) = 126699 / 126699

GCD(471, 269) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 471, 269, 106, 353 is 1

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1. What is the GCD of 471, 269, 106, 353?

GCD of 471, 269, 106, 353 is 1

2. Where do I get the detailed procedure to find GCD of 471, 269, 106, 353?

You can find a detailed procedure to find GCD of 471, 269, 106, 353 on our page.

3. How to find GCD of 471, 269, 106, 353 on a calculator?

You can find the GCD of 471, 269, 106, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.