GCD of 257, 187, 827, 480 Calculator

Given Input numbers are 257, 187, 827, 480

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 257, 187, 827, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 187, 827, 480 is 1.

Therefore, GCD of numbers 257, 187, 827, 480 is 1

Given Input Data is 257, 187, 827, 480

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

Prime Factorization of 257 is 257

Prime Factorization of 187 is 11 x 17

Prime Factorization of 827 is 827

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(257, 187) = 48059

GCD(257, 187) = ( 257 x 187 ) / 48059

GCD(257, 187) = 48059 / 48059

GCD(257, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 257, 187, 827, 480 is 1

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1. What is the GCD of 257, 187, 827, 480?

GCD of 257, 187, 827, 480 is 1

2. Where do I get the detailed procedure to find GCD of 257, 187, 827, 480?

You can find a detailed procedure to find GCD of 257, 187, 827, 480 on our page.

3. How to find GCD of 257, 187, 827, 480 on a calculator?

You can find the GCD of 257, 187, 827, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.