GCD of 298, 727, 212, 583 Calculator

Given Input numbers are 298, 727, 212, 583

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 298, 727, 212, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 727, 212, 583 is 1.

Therefore, GCD of numbers 298, 727, 212, 583 is 1

Given Input Data is 298, 727, 212, 583

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 727 is 727

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 583 is 11 x 53

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(298, 727) = 216646

GCD(298, 727) = ( 298 x 727 ) / 216646

GCD(298, 727) = 216646 / 216646

GCD(298, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 298, 727, 212, 583 is 1

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1. What is the GCD of 298, 727, 212, 583?

GCD of 298, 727, 212, 583 is 1

2. Where do I get the detailed procedure to find GCD of 298, 727, 212, 583?

You can find a detailed procedure to find GCD of 298, 727, 212, 583 on our page.

3. How to find GCD of 298, 727, 212, 583 on a calculator?

You can find the GCD of 298, 727, 212, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.