GCD of 280, 828, 48, 403 Calculator

Given Input numbers are 280, 828, 48, 403

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

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 280, 828, 48, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 828, 48, 403 is 1.

Therefore, GCD of numbers 280, 828, 48, 403 is 1

Given Input Data is 280, 828, 48, 403

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

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 403 is 13 x 31

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(280, 828) = 57960

GCD(280, 828) = ( 280 x 828 ) / 57960

GCD(280, 828) = 231840 / 57960

GCD(280, 828) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 403

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

LCM(4, 403) = 1612

GCD(4, 403) = ( 4 x 403 ) / 1612

GCD(4, 403) = 1612 / 1612

GCD(4, 403) = 1

GCD of 280, 828, 48, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 938, 89, 267
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• GCD of 894, 802, 80, 708

1. What is the GCD of 280, 828, 48, 403?

GCD of 280, 828, 48, 403 is 1

2. Where do I get the detailed procedure to find GCD of 280, 828, 48, 403?

You can find a detailed procedure to find GCD of 280, 828, 48, 403 on our page.

3. How to find GCD of 280, 828, 48, 403 on a calculator?

You can find the GCD of 280, 828, 48, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.