GCD of 867, 372, 981, 474 Calculator

Given Input numbers are 867, 372, 981, 474

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 867, 372, 981, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 372, 981, 474 is 3.

Therefore, GCD of numbers 867, 372, 981, 474 is 3

Given Input Data is 867, 372, 981, 474

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 474 is 2 x 3 x 79

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(867, 372) = 107508

GCD(867, 372) = ( 867 x 372 ) / 107508

GCD(867, 372) = 322524 / 107508

GCD(867, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 981

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

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

GCD(3, 981) = 2943 / 981

GCD(3, 981) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 474

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

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

GCD(3, 474) = 1422 / 474

GCD(3, 474) = 3

GCD of 867, 372, 981, 474 is 3

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1. What is the GCD of 867, 372, 981, 474?

GCD of 867, 372, 981, 474 is 3

2. Where do I get the detailed procedure to find GCD of 867, 372, 981, 474?

You can find a detailed procedure to find GCD of 867, 372, 981, 474 on our page.

3. How to find GCD of 867, 372, 981, 474 on a calculator?

You can find the GCD of 867, 372, 981, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.