GCD of 645, 680, 82, 271 Calculator

Given Input numbers are 645, 680, 82, 271

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 82

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

1, 2, 41, 82

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 645, 680, 82, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 680, 82, 271 is 1.

Therefore, GCD of numbers 645, 680, 82, 271 is 1

Given Input Data is 645, 680, 82, 271

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 82 is 2 x 41

Prime Factorization of 271 is 271

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(645, 680) = 87720

GCD(645, 680) = ( 645 x 680 ) / 87720

GCD(645, 680) = 438600 / 87720

GCD(645, 680) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 82

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

LCM(5, 82) = 410

GCD(5, 82) = ( 5 x 82 ) / 410

GCD(5, 82) = 410 / 410

GCD(5, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 645, 680, 82, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 396, 79, 326
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1. What is the GCD of 645, 680, 82, 271?

GCD of 645, 680, 82, 271 is 1

2. Where do I get the detailed procedure to find GCD of 645, 680, 82, 271?

You can find a detailed procedure to find GCD of 645, 680, 82, 271 on our page.

3. How to find GCD of 645, 680, 82, 271 on a calculator?

You can find the GCD of 645, 680, 82, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.