GCD of 363, 280, 75, 281 Calculator

Given Input numbers are 363, 280, 75, 281

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 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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 363, 280, 75, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 280, 75, 281 is 1.

Therefore, GCD of numbers 363, 280, 75, 281 is 1

Given Input Data is 363, 280, 75, 281

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 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 281 is 281

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, 280) = 101640

GCD(363, 280) = ( 363 x 280 ) / 101640

GCD(363, 280) = 101640 / 101640

GCD(363, 280) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 363, 280, 75, 281 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 537, 67, 370
• GCD of 271, 607, 62, 864
• GCD of 971, 995, 85, 995
• GCD of 981, 300, 18, 763
• GCD of 435, 498, 66, 653

1. What is the GCD of 363, 280, 75, 281?

GCD of 363, 280, 75, 281 is 1

2. Where do I get the detailed procedure to find GCD of 363, 280, 75, 281?

You can find a detailed procedure to find GCD of 363, 280, 75, 281 on our page.

3. How to find GCD of 363, 280, 75, 281 on a calculator?

You can find the GCD of 363, 280, 75, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.