GCD of 781, 813, 284, 972 Calculator

Given Input numbers are 781, 813, 284, 972

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 813

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

1, 3, 271, 813

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 781, 813, 284, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 813, 284, 972 is 1.

Therefore, GCD of numbers 781, 813, 284, 972 is 1

Given Input Data is 781, 813, 284, 972

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

Prime Factorization of 781 is 11 x 71

Prime Factorization of 813 is 3 x 271

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(781, 813) = 634953

GCD(781, 813) = ( 781 x 813 ) / 634953

GCD(781, 813) = 634953 / 634953

GCD(781, 813) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 781, 813, 284, 972 is 1

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1. What is the GCD of 781, 813, 284, 972?

GCD of 781, 813, 284, 972 is 1

2. Where do I get the detailed procedure to find GCD of 781, 813, 284, 972?

You can find a detailed procedure to find GCD of 781, 813, 284, 972 on our page.

3. How to find GCD of 781, 813, 284, 972 on a calculator?

You can find the GCD of 781, 813, 284, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.