GCD of 921, 459, 84, 261 Calculator

Given Input numbers are 921, 459, 84, 261

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 921, 459, 84, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 459, 84, 261 is 3.

Therefore, GCD of numbers 921, 459, 84, 261 is 3

Given Input Data is 921, 459, 84, 261

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(921, 459) = 140913

GCD(921, 459) = ( 921 x 459 ) / 140913

GCD(921, 459) = 422739 / 140913

GCD(921, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

GCD of 921, 459, 84, 261 is 3

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1. What is the GCD of 921, 459, 84, 261?

GCD of 921, 459, 84, 261 is 3

2. Where do I get the detailed procedure to find GCD of 921, 459, 84, 261?

You can find a detailed procedure to find GCD of 921, 459, 84, 261 on our page.

3. How to find GCD of 921, 459, 84, 261 on a calculator?

You can find the GCD of 921, 459, 84, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.