GCD of 260, 666, 588, 253 Calculator

Given Input numbers are 260, 666, 588, 253

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 260, 666, 588, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 666, 588, 253 is 1.

Therefore, GCD of numbers 260, 666, 588, 253 is 1

Given Input Data is 260, 666, 588, 253

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 253 is 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(260, 666) = 86580

GCD(260, 666) = ( 260 x 666 ) / 86580

GCD(260, 666) = 173160 / 86580

GCD(260, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 260, 666, 588, 253 is 1

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1. What is the GCD of 260, 666, 588, 253?

GCD of 260, 666, 588, 253 is 1

2. Where do I get the detailed procedure to find GCD of 260, 666, 588, 253?

You can find a detailed procedure to find GCD of 260, 666, 588, 253 on our page.

3. How to find GCD of 260, 666, 588, 253 on a calculator?

You can find the GCD of 260, 666, 588, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.