GCD of 363, 996, 267, 280 Calculator

Given Input numbers are 363, 996, 267, 280

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 267

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

1, 3, 89, 267

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 363, 996, 267, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 996, 267, 280 is 1.

Therefore, GCD of numbers 363, 996, 267, 280 is 1

Given Input Data is 363, 996, 267, 280

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 267 is 3 x 89

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(363, 996) = 120516

GCD(363, 996) = ( 363 x 996 ) / 120516

GCD(363, 996) = 361548 / 120516

GCD(363, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 280

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

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

GCD(3, 280) = 840 / 840

GCD(3, 280) = 1

GCD of 363, 996, 267, 280 is 1

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1. What is the GCD of 363, 996, 267, 280?

GCD of 363, 996, 267, 280 is 1

2. Where do I get the detailed procedure to find GCD of 363, 996, 267, 280?

You can find a detailed procedure to find GCD of 363, 996, 267, 280 on our page.

3. How to find GCD of 363, 996, 267, 280 on a calculator?

You can find the GCD of 363, 996, 267, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.