GCD of 272, 638, 743, 982 Calculator

Given Input numbers are 272, 638, 743, 982

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 272, 638, 743, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 638, 743, 982 is 1.

Therefore, GCD of numbers 272, 638, 743, 982 is 1

Given Input Data is 272, 638, 743, 982

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 743 is 743

Prime Factorization of 982 is 2 x 491

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(272, 638) = 86768

GCD(272, 638) = ( 272 x 638 ) / 86768

GCD(272, 638) = 173536 / 86768

GCD(272, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 272, 638, 743, 982 is 1

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1. What is the GCD of 272, 638, 743, 982?

GCD of 272, 638, 743, 982 is 1

2. Where do I get the detailed procedure to find GCD of 272, 638, 743, 982?

You can find a detailed procedure to find GCD of 272, 638, 743, 982 on our page.

3. How to find GCD of 272, 638, 743, 982 on a calculator?

You can find the GCD of 272, 638, 743, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.