GCD of 570, 708, 549, 261 Calculator

Given Input numbers are 570, 708, 549, 261

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

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 570, 708, 549, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 708, 549, 261 is 3.

Therefore, GCD of numbers 570, 708, 549, 261 is 3

Given Input Data is 570, 708, 549, 261

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 549 is 3 x 3 x 61

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(570, 708) = 67260

GCD(570, 708) = ( 570 x 708 ) / 67260

GCD(570, 708) = 403560 / 67260

GCD(570, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 549

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

LCM(6, 549) = 1098

GCD(6, 549) = ( 6 x 549 ) / 1098

GCD(6, 549) = 3294 / 1098

GCD(6, 549) = 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 570, 708, 549, 261 is 3

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1. What is the GCD of 570, 708, 549, 261?

GCD of 570, 708, 549, 261 is 3

2. Where do I get the detailed procedure to find GCD of 570, 708, 549, 261?

You can find a detailed procedure to find GCD of 570, 708, 549, 261 on our page.

3. How to find GCD of 570, 708, 549, 261 on a calculator?

You can find the GCD of 570, 708, 549, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.