GCD of 270, 381, 57, 988 Calculator

Given Input numbers are 270, 381, 57, 988

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

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 57

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

1, 3, 19, 57

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 270, 381, 57, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 381, 57, 988 is 1.

Therefore, GCD of numbers 270, 381, 57, 988 is 1

Given Input Data is 270, 381, 57, 988

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

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 57 is 3 x 19

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(270, 381) = 34290

GCD(270, 381) = ( 270 x 381 ) / 34290

GCD(270, 381) = 102870 / 34290

GCD(270, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 988

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

LCM(3, 988) = 2964

GCD(3, 988) = ( 3 x 988 ) / 2964

GCD(3, 988) = 2964 / 2964

GCD(3, 988) = 1

GCD of 270, 381, 57, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 160, 93, 291
• GCD of 583, 569, 39, 449
• GCD of 415, 963, 70, 161
• GCD of 528, 168, 72, 261
• GCD of 898, 734, 14, 226

1. What is the GCD of 270, 381, 57, 988?

GCD of 270, 381, 57, 988 is 1

2. Where do I get the detailed procedure to find GCD of 270, 381, 57, 988?

You can find a detailed procedure to find GCD of 270, 381, 57, 988 on our page.

3. How to find GCD of 270, 381, 57, 988 on a calculator?

You can find the GCD of 270, 381, 57, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.