GCD of 591, 846, 981 Calculator

Given Input numbers are 591, 846, 981

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 981

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

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 591, 846, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 846, 981 is 3.

Therefore, GCD of numbers 591, 846, 981 is 3

Given Input Data is 591, 846, 981

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 981 is 3 x 3 x 109

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(591, 846) = 166662

GCD(591, 846) = ( 591 x 846 ) / 166662

GCD(591, 846) = 499986 / 166662

GCD(591, 846) = 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

GCD of 591, 846, 981 is 3

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1. What is the GCD of 591, 846, 981?

GCD of 591, 846, 981 is 3

2. Where do I get the detailed procedure to find GCD of 591, 846, 981?

You can find a detailed procedure to find GCD of 591, 846, 981 on our page.

3. How to find GCD of 591, 846, 981 on a calculator?

You can find the GCD of 591, 846, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.