GCD of 713, 203, 298, 469 Calculator

Given Input numbers are 713, 203, 298, 469

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 713, 203, 298, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 203, 298, 469 is 1.

Therefore, GCD of numbers 713, 203, 298, 469 is 1

Given Input Data is 713, 203, 298, 469

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 203 is 7 x 29

Prime Factorization of 298 is 2 x 149

Prime Factorization of 469 is 7 x 67

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(713, 203) = 144739

GCD(713, 203) = ( 713 x 203 ) / 144739

GCD(713, 203) = 144739 / 144739

GCD(713, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 713, 203, 298, 469 is 1

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1. What is the GCD of 713, 203, 298, 469?

GCD of 713, 203, 298, 469 is 1

2. Where do I get the detailed procedure to find GCD of 713, 203, 298, 469?

You can find a detailed procedure to find GCD of 713, 203, 298, 469 on our page.

3. How to find GCD of 713, 203, 298, 469 on a calculator?

You can find the GCD of 713, 203, 298, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.