GCD of 782, 422, 74, 813 Calculator

Given Input numbers are 782, 422, 74, 813

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

Divisors of 782

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

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 782, 422, 74, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 422, 74, 813 is 1.

Therefore, GCD of numbers 782, 422, 74, 813 is 1

Given Input Data is 782, 422, 74, 813

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 422 is 2 x 211

Prime Factorization of 74 is 2 x 37

Prime Factorization of 813 is 3 x 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(782, 422) = 165002

GCD(782, 422) = ( 782 x 422 ) / 165002

GCD(782, 422) = 330004 / 165002

GCD(782, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

GCD of 782, 422, 74, 813 is 1

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1. What is the GCD of 782, 422, 74, 813?

GCD of 782, 422, 74, 813 is 1

2. Where do I get the detailed procedure to find GCD of 782, 422, 74, 813?

You can find a detailed procedure to find GCD of 782, 422, 74, 813 on our page.

3. How to find GCD of 782, 422, 74, 813 on a calculator?

You can find the GCD of 782, 422, 74, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.