GCD of 981, 627, 426, 831 Calculator

Given Input numbers are 981, 627, 426, 831

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 981, 627, 426, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 627, 426, 831 is 3.

Therefore, GCD of numbers 981, 627, 426, 831 is 3

Given Input Data is 981, 627, 426, 831

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 831 is 3 x 277

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(981, 627) = 205029

GCD(981, 627) = ( 981 x 627 ) / 205029

GCD(981, 627) = 615087 / 205029

GCD(981, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 426

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

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

GCD(3, 426) = 1278 / 426

GCD(3, 426) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 831

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

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

GCD(3, 831) = 2493 / 831

GCD(3, 831) = 3

GCD of 981, 627, 426, 831 is 3

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1. What is the GCD of 981, 627, 426, 831?

GCD of 981, 627, 426, 831 is 3

2. Where do I get the detailed procedure to find GCD of 981, 627, 426, 831?

You can find a detailed procedure to find GCD of 981, 627, 426, 831 on our page.

3. How to find GCD of 981, 627, 426, 831 on a calculator?

You can find the GCD of 981, 627, 426, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.