GCD of 57, 288, 132, 706 Calculator

Given Input numbers are 57, 288, 132, 706

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 57, 288, 132, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 288, 132, 706 is 1.

Therefore, GCD of numbers 57, 288, 132, 706 is 1

Given Input Data is 57, 288, 132, 706

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 706 is 2 x 353

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, 288) = 5472

GCD(57, 288) = ( 57 x 288 ) / 5472

GCD(57, 288) = 16416 / 5472

GCD(57, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 706

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

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

GCD(3, 706) = 2118 / 2118

GCD(3, 706) = 1

GCD of 57, 288, 132, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 619, 116, 413
• GCD of 23, 125, 746, 104
• GCD of 22, 760, 504, 355
• GCD of 78, 462, 681, 701
• GCD of 91, 212, 761, 169

1. What is the GCD of 57, 288, 132, 706?

GCD of 57, 288, 132, 706 is 1

2. Where do I get the detailed procedure to find GCD of 57, 288, 132, 706?

You can find a detailed procedure to find GCD of 57, 288, 132, 706 on our page.

3. How to find GCD of 57, 288, 132, 706 on a calculator?

You can find the GCD of 57, 288, 132, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.