GCD of 252, 810, 132, 291 Calculator

Given Input numbers are 252, 810, 132, 291

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 252, 810, 132, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 810, 132, 291 is 3.

Therefore, GCD of numbers 252, 810, 132, 291 is 3

Given Input Data is 252, 810, 132, 291

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 291 is 3 x 97

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(252, 810) = 11340

GCD(252, 810) = ( 252 x 810 ) / 11340

GCD(252, 810) = 204120 / 11340

GCD(252, 810) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 132

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

LCM(18, 132) = 396

GCD(18, 132) = ( 18 x 132 ) / 396

GCD(18, 132) = 2376 / 396

GCD(18, 132) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 291

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

LCM(6, 291) = 582

GCD(6, 291) = ( 6 x 291 ) / 582

GCD(6, 291) = 1746 / 582

GCD(6, 291) = 3

GCD of 252, 810, 132, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 925, 124, 719
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1. What is the GCD of 252, 810, 132, 291?

GCD of 252, 810, 132, 291 is 3

2. Where do I get the detailed procedure to find GCD of 252, 810, 132, 291?

You can find a detailed procedure to find GCD of 252, 810, 132, 291 on our page.

3. How to find GCD of 252, 810, 132, 291 on a calculator?

You can find the GCD of 252, 810, 132, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.