GCD of 51, 561, 270, 228 Calculator

Given Input numbers are 51, 561, 270, 228

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 51, 561, 270, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 561, 270, 228 is 3.

Therefore, GCD of numbers 51, 561, 270, 228 is 3

Given Input Data is 51, 561, 270, 228

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 561 is 3 x 11 x 17

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(51, 561) = 561

GCD(51, 561) = ( 51 x 561 ) / 561

GCD(51, 561) = 28611 / 561

GCD(51, 561) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 270

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

LCM(51, 270) = 4590

GCD(51, 270) = ( 51 x 270 ) / 4590

GCD(51, 270) = 13770 / 4590

GCD(51, 270) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

GCD of 51, 561, 270, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 796, 534, 277
• GCD of 34, 476, 931, 992
• GCD of 54, 768, 478, 236
• GCD of 38, 934, 270, 483
• GCD of 17, 525, 300, 170

1. What is the GCD of 51, 561, 270, 228?

GCD of 51, 561, 270, 228 is 3

2. Where do I get the detailed procedure to find GCD of 51, 561, 270, 228?

You can find a detailed procedure to find GCD of 51, 561, 270, 228 on our page.

3. How to find GCD of 51, 561, 270, 228 on a calculator?

You can find the GCD of 51, 561, 270, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.