GCD of 83, 425, 872, 257 Calculator

Given Input numbers are 83, 425, 872, 257

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 257

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

1, 257

Greatest Common Divisior

We found the divisors of 83, 425, 872, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 425, 872, 257 is 1.

Therefore, GCD of numbers 83, 425, 872, 257 is 1

Given Input Data is 83, 425, 872, 257

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

Prime Factorization of 83 is 83

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 257 is 257

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(83, 425) = 35275

GCD(83, 425) = ( 83 x 425 ) / 35275

GCD(83, 425) = 35275 / 35275

GCD(83, 425) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 83, 425, 872, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 829, 108, 537
• GCD of 14, 271, 399, 129
• GCD of 19, 728, 872, 801
• GCD of 79, 589, 437, 354
• GCD of 22, 672, 511, 851

1. What is the GCD of 83, 425, 872, 257?

GCD of 83, 425, 872, 257 is 1

2. Where do I get the detailed procedure to find GCD of 83, 425, 872, 257?

You can find a detailed procedure to find GCD of 83, 425, 872, 257 on our page.

3. How to find GCD of 83, 425, 872, 257 on a calculator?

You can find the GCD of 83, 425, 872, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.