GCD of 57, 588, 456, 272 Calculator

Given Input numbers are 57, 588, 456, 272

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

Greatest Common Divisior

We found the divisors of 57, 588, 456, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 588, 456, 272 is 1.

Therefore, GCD of numbers 57, 588, 456, 272 is 1

Given Input Data is 57, 588, 456, 272

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

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(57, 588) = 11172

GCD(57, 588) = ( 57 x 588 ) / 11172

GCD(57, 588) = 33516 / 11172

GCD(57, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 456

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

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

GCD(3, 456) = 1368 / 456

GCD(3, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 272

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

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

GCD(3, 272) = 816 / 816

GCD(3, 272) = 1

GCD of 57, 588, 456, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 147, 184, 147
• GCD of 53, 634, 171, 210
• GCD of 74, 405, 484, 346
• GCD of 31, 609, 336, 535
• GCD of 29, 644, 362, 600

1. What is the GCD of 57, 588, 456, 272?

GCD of 57, 588, 456, 272 is 1

2. Where do I get the detailed procedure to find GCD of 57, 588, 456, 272?

You can find a detailed procedure to find GCD of 57, 588, 456, 272 on our page.

3. How to find GCD of 57, 588, 456, 272 on a calculator?

You can find the GCD of 57, 588, 456, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.