GCD of 817, 645, 278, 782 Calculator

Given Input numbers are 817, 645, 278, 782

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 817, 645, 278, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 645, 278, 782 is 1.

Therefore, GCD of numbers 817, 645, 278, 782 is 1

Given Input Data is 817, 645, 278, 782

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 278 is 2 x 139

Prime Factorization of 782 is 2 x 17 x 23

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(817, 645) = 12255

GCD(817, 645) = ( 817 x 645 ) / 12255

GCD(817, 645) = 526965 / 12255

GCD(817, 645) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 278

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

LCM(43, 278) = 11954

GCD(43, 278) = ( 43 x 278 ) / 11954

GCD(43, 278) = 11954 / 11954

GCD(43, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 817, 645, 278, 782 is 1

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1. What is the GCD of 817, 645, 278, 782?

GCD of 817, 645, 278, 782 is 1

2. Where do I get the detailed procedure to find GCD of 817, 645, 278, 782?

You can find a detailed procedure to find GCD of 817, 645, 278, 782 on our page.

3. How to find GCD of 817, 645, 278, 782 on a calculator?

You can find the GCD of 817, 645, 278, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.