GCD of 382, 272, 91, 657 Calculator

Given Input numbers are 382, 272, 91, 657

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 382, 272, 91, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 272, 91, 657 is 1.

Therefore, GCD of numbers 382, 272, 91, 657 is 1

Given Input Data is 382, 272, 91, 657

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

Prime Factorization of 382 is 2 x 191

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 657 is 3 x 3 x 73

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(382, 272) = 51952

GCD(382, 272) = ( 382 x 272 ) / 51952

GCD(382, 272) = 103904 / 51952

GCD(382, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 382, 272, 91, 657 is 1

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1. What is the GCD of 382, 272, 91, 657?

GCD of 382, 272, 91, 657 is 1

2. Where do I get the detailed procedure to find GCD of 382, 272, 91, 657?

You can find a detailed procedure to find GCD of 382, 272, 91, 657 on our page.

3. How to find GCD of 382, 272, 91, 657 on a calculator?

You can find the GCD of 382, 272, 91, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.