GCD of 280, 332, 904, 407 Calculator

Given Input numbers are 280, 332, 904, 407

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 280, 332, 904, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 332, 904, 407 is 1.

Therefore, GCD of numbers 280, 332, 904, 407 is 1

Given Input Data is 280, 332, 904, 407

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 332 is 2 x 2 x 83

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 407 is 11 x 37

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, 332) = 23240

GCD(280, 332) = ( 280 x 332 ) / 23240

GCD(280, 332) = 92960 / 23240

GCD(280, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 904

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

LCM(4, 904) = 904

GCD(4, 904) = ( 4 x 904 ) / 904

GCD(4, 904) = 3616 / 904

GCD(4, 904) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 407

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

LCM(4, 407) = 1628

GCD(4, 407) = ( 4 x 407 ) / 1628

GCD(4, 407) = 1628 / 1628

GCD(4, 407) = 1

GCD of 280, 332, 904, 407 is 1

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1. What is the GCD of 280, 332, 904, 407?

GCD of 280, 332, 904, 407 is 1

2. Where do I get the detailed procedure to find GCD of 280, 332, 904, 407?

You can find a detailed procedure to find GCD of 280, 332, 904, 407 on our page.

3. How to find GCD of 280, 332, 904, 407 on a calculator?

You can find the GCD of 280, 332, 904, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.