GCD of 280, 327, 25, 457 Calculator

Given Input numbers are 280, 327, 25, 457

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 280, 327, 25, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 327, 25, 457 is 1.

Therefore, GCD of numbers 280, 327, 25, 457 is 1

Given Input Data is 280, 327, 25, 457

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 327 is 3 x 109

Prime Factorization of 25 is 5 x 5

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(280, 327) = 91560

GCD(280, 327) = ( 280 x 327 ) / 91560

GCD(280, 327) = 91560 / 91560

GCD(280, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 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 280, 327, 25, 457 is 1

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1. What is the GCD of 280, 327, 25, 457?

GCD of 280, 327, 25, 457 is 1

2. Where do I get the detailed procedure to find GCD of 280, 327, 25, 457?

You can find a detailed procedure to find GCD of 280, 327, 25, 457 on our page.

3. How to find GCD of 280, 327, 25, 457 on a calculator?

You can find the GCD of 280, 327, 25, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.