GCD of 60, 192, 810, 261 Calculator

Given Input numbers are 60, 192, 810, 261

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 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 60, 192, 810, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 192, 810, 261 is 3.

Therefore, GCD of numbers 60, 192, 810, 261 is 3

Given Input Data is 60, 192, 810, 261

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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(60, 192) = 960

GCD(60, 192) = ( 60 x 192 ) / 960

GCD(60, 192) = 11520 / 960

GCD(60, 192) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 810

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

LCM(12, 810) = 1620

GCD(12, 810) = ( 12 x 810 ) / 1620

GCD(12, 810) = 9720 / 1620

GCD(12, 810) = 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 60, 192, 810, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 800, 142, 182
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• GCD of 32, 157, 400, 260
• GCD of 35, 941, 750, 410

1. What is the GCD of 60, 192, 810, 261?

GCD of 60, 192, 810, 261 is 3

2. Where do I get the detailed procedure to find GCD of 60, 192, 810, 261?

You can find a detailed procedure to find GCD of 60, 192, 810, 261 on our page.

3. How to find GCD of 60, 192, 810, 261 on a calculator?

You can find the GCD of 60, 192, 810, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.