GCD of 330, 898, 52, 986 Calculator

Given Input numbers are 330, 898, 52, 986

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 330, 898, 52, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 898, 52, 986 is 2.

Therefore, GCD of numbers 330, 898, 52, 986 is 2

Given Input Data is 330, 898, 52, 986

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 898 is 2 x 449

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 986 is 2 x 17 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(330, 898) = 148170

GCD(330, 898) = ( 330 x 898 ) / 148170

GCD(330, 898) = 296340 / 148170

GCD(330, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 330, 898, 52, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 400, 22, 268
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• GCD of 945, 499, 16, 973
• GCD of 401, 544, 78, 919
• GCD of 600, 427, 72, 215

1. What is the GCD of 330, 898, 52, 986?

GCD of 330, 898, 52, 986 is 2

2. Where do I get the detailed procedure to find GCD of 330, 898, 52, 986?

You can find a detailed procedure to find GCD of 330, 898, 52, 986 on our page.

3. How to find GCD of 330, 898, 52, 986 on a calculator?

You can find the GCD of 330, 898, 52, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.