GCD of 630, 162, 222, 261 Calculator

Given Input numbers are 630, 162, 222, 261

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 630, 162, 222, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 162, 222, 261 is 3.

Therefore, GCD of numbers 630, 162, 222, 261 is 3

Given Input Data is 630, 162, 222, 261

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 261 is 3 x 3 x 29

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(630, 162) = 5670

GCD(630, 162) = ( 630 x 162 ) / 5670

GCD(630, 162) = 102060 / 5670

GCD(630, 162) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 222

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

LCM(18, 222) = 666

GCD(18, 222) = ( 18 x 222 ) / 666

GCD(18, 222) = 3996 / 666

GCD(18, 222) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 261

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

LCM(6, 261) = 522

GCD(6, 261) = ( 6 x 261 ) / 522

GCD(6, 261) = 1566 / 522

GCD(6, 261) = 3

GCD of 630, 162, 222, 261 is 3

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1. What is the GCD of 630, 162, 222, 261?

GCD of 630, 162, 222, 261 is 3

2. Where do I get the detailed procedure to find GCD of 630, 162, 222, 261?

You can find a detailed procedure to find GCD of 630, 162, 222, 261 on our page.

3. How to find GCD of 630, 162, 222, 261 on a calculator?

You can find the GCD of 630, 162, 222, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.