GCD of 210, 465, 27, 531 Calculator

Given Input numbers are 210, 465, 27, 531

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 210, 465, 27, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 465, 27, 531 is 3.

Therefore, GCD of numbers 210, 465, 27, 531 is 3

Given Input Data is 210, 465, 27, 531

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 531 is 3 x 3 x 59

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(210, 465) = 6510

GCD(210, 465) = ( 210 x 465 ) / 6510

GCD(210, 465) = 97650 / 6510

GCD(210, 465) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 27

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

LCM(15, 27) = 135

GCD(15, 27) = ( 15 x 27 ) / 135

GCD(15, 27) = 405 / 135

GCD(15, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

GCD of 210, 465, 27, 531 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 337, 52, 558
• GCD of 161, 216, 30, 403
• GCD of 779, 427, 55, 639
• GCD of 108, 372, 88, 250
• GCD of 339, 188, 63, 814

1. What is the GCD of 210, 465, 27, 531?

GCD of 210, 465, 27, 531 is 3

2. Where do I get the detailed procedure to find GCD of 210, 465, 27, 531?

You can find a detailed procedure to find GCD of 210, 465, 27, 531 on our page.

3. How to find GCD of 210, 465, 27, 531 on a calculator?

You can find the GCD of 210, 465, 27, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.