GCD of 57, 518, 755, 172 Calculator

Given Input numbers are 57, 518, 755, 172

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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 57, 518, 755, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 518, 755, 172 is 1.

Therefore, GCD of numbers 57, 518, 755, 172 is 1

Given Input Data is 57, 518, 755, 172

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 755 is 5 x 151

Prime Factorization of 172 is 2 x 2 x 43

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, 518) = 29526

GCD(57, 518) = ( 57 x 518 ) / 29526

GCD(57, 518) = 29526 / 29526

GCD(57, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 57, 518, 755, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 540, 574, 932
• GCD of 36, 178, 870, 536
• GCD of 86, 189, 576, 315
• GCD of 59, 509, 340, 593
• GCD of 90, 303, 728, 758

1. What is the GCD of 57, 518, 755, 172?

GCD of 57, 518, 755, 172 is 1

2. Where do I get the detailed procedure to find GCD of 57, 518, 755, 172?

You can find a detailed procedure to find GCD of 57, 518, 755, 172 on our page.

3. How to find GCD of 57, 518, 755, 172 on a calculator?

You can find the GCD of 57, 518, 755, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.