GCD of 393, 260, 267, 354 Calculator

Given Input numbers are 393, 260, 267, 354

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 393, 260, 267, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 260, 267, 354 is 1.

Therefore, GCD of numbers 393, 260, 267, 354 is 1

Given Input Data is 393, 260, 267, 354

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

Prime Factorization of 393 is 3 x 131

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 354 is 2 x 3 x 59

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(393, 260) = 102180

GCD(393, 260) = ( 393 x 260 ) / 102180

GCD(393, 260) = 102180 / 102180

GCD(393, 260) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 393, 260, 267, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 280, 420, 706
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• GCD of 363, 665, 880, 999

1. What is the GCD of 393, 260, 267, 354?

GCD of 393, 260, 267, 354 is 1

2. Where do I get the detailed procedure to find GCD of 393, 260, 267, 354?

You can find a detailed procedure to find GCD of 393, 260, 267, 354 on our page.

3. How to find GCD of 393, 260, 267, 354 on a calculator?

You can find the GCD of 393, 260, 267, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.