GCD of 267, 549, 19, 457 Calculator

Given Input numbers are 267, 549, 19, 457

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

Divisors of 267

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

1, 3, 89, 267

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 267, 549, 19, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 549, 19, 457 is 1.

Therefore, GCD of numbers 267, 549, 19, 457 is 1

Given Input Data is 267, 549, 19, 457

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 19 is 19

Prime Factorization of 457 is 457

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(267, 549) = 48861

GCD(267, 549) = ( 267 x 549 ) / 48861

GCD(267, 549) = 146583 / 48861

GCD(267, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 267, 549, 19, 457 is 1

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1. What is the GCD of 267, 549, 19, 457?

GCD of 267, 549, 19, 457 is 1

2. Where do I get the detailed procedure to find GCD of 267, 549, 19, 457?

You can find a detailed procedure to find GCD of 267, 549, 19, 457 on our page.

3. How to find GCD of 267, 549, 19, 457 on a calculator?

You can find the GCD of 267, 549, 19, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.