GCD of 53, 272, 457, 388 Calculator

Given Input numbers are 53, 272, 457, 388

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 53, 272, 457, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 272, 457, 388 is 1.

Therefore, GCD of numbers 53, 272, 457, 388 is 1

Given Input Data is 53, 272, 457, 388

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

Prime Factorization of 53 is 53

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

Prime Factorization of 457 is 457

Prime Factorization of 388 is 2 x 2 x 97

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(53, 272) = 14416

GCD(53, 272) = ( 53 x 272 ) / 14416

GCD(53, 272) = 14416 / 14416

GCD(53, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 53, 272, 457, 388 is 1

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1. What is the GCD of 53, 272, 457, 388?

GCD of 53, 272, 457, 388 is 1

2. Where do I get the detailed procedure to find GCD of 53, 272, 457, 388?

You can find a detailed procedure to find GCD of 53, 272, 457, 388 on our page.

3. How to find GCD of 53, 272, 457, 388 on a calculator?

You can find the GCD of 53, 272, 457, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.