GCD of 57, 270, 518, 100 Calculator

Given Input numbers are 57, 270, 518, 100

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 57, 270, 518, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 270, 518, 100 is 1.

Therefore, GCD of numbers 57, 270, 518, 100 is 1

Given Input Data is 57, 270, 518, 100

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 270) = 5130

GCD(57, 270) = ( 57 x 270 ) / 5130

GCD(57, 270) = 15390 / 5130

GCD(57, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 518

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

LCM(3, 518) = 1554

GCD(3, 518) = ( 3 x 518 ) / 1554

GCD(3, 518) = 1554 / 1554

GCD(3, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 57, 270, 518, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 641, 148, 457
• GCD of 23, 796, 641, 827
• GCD of 44, 857, 152, 721
• GCD of 80, 301, 812, 604
• GCD of 74, 976, 437, 321

1. What is the GCD of 57, 270, 518, 100?

GCD of 57, 270, 518, 100 is 1

2. Where do I get the detailed procedure to find GCD of 57, 270, 518, 100?

You can find a detailed procedure to find GCD of 57, 270, 518, 100 on our page.

3. How to find GCD of 57, 270, 518, 100 on a calculator?

You can find the GCD of 57, 270, 518, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.