GCD of 727, 220, 47, 343 Calculator

Given Input numbers are 727, 220, 47, 343

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

Divisors of 727

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

1, 727

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 727, 220, 47, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 220, 47, 343 is 1.

Therefore, GCD of numbers 727, 220, 47, 343 is 1

Given Input Data is 727, 220, 47, 343

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

Prime Factorization of 727 is 727

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 47 is 47

Prime Factorization of 343 is 7 x 7 x 7

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(727, 220) = 159940

GCD(727, 220) = ( 727 x 220 ) / 159940

GCD(727, 220) = 159940 / 159940

GCD(727, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 727, 220, 47, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 128, 95, 333
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• GCD of 680, 367, 72, 250

1. What is the GCD of 727, 220, 47, 343?

GCD of 727, 220, 47, 343 is 1

2. Where do I get the detailed procedure to find GCD of 727, 220, 47, 343?

You can find a detailed procedure to find GCD of 727, 220, 47, 343 on our page.

3. How to find GCD of 727, 220, 47, 343 on a calculator?

You can find the GCD of 727, 220, 47, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.