GCD of 82, 125, 431, 440 Calculator

Given Input numbers are 82, 125, 431, 440

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 82, 125, 431, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 125, 431, 440 is 1.

Therefore, GCD of numbers 82, 125, 431, 440 is 1

Given Input Data is 82, 125, 431, 440

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 431 is 431

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(82, 125) = 10250

GCD(82, 125) = ( 82 x 125 ) / 10250

GCD(82, 125) = 10250 / 10250

GCD(82, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 82, 125, 431, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 115, 323, 204
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• GCD of 92, 465, 328, 556
• GCD of 47, 129, 523, 313

1. What is the GCD of 82, 125, 431, 440?

GCD of 82, 125, 431, 440 is 1

2. Where do I get the detailed procedure to find GCD of 82, 125, 431, 440?

You can find a detailed procedure to find GCD of 82, 125, 431, 440 on our page.

3. How to find GCD of 82, 125, 431, 440 on a calculator?

You can find the GCD of 82, 125, 431, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.