GCD of 982, 648, 44, 132 Calculator

Given Input numbers are 982, 648, 44, 132

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 982, 648, 44, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 648, 44, 132 is 2.

Therefore, GCD of numbers 982, 648, 44, 132 is 2

Given Input Data is 982, 648, 44, 132

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(982, 648) = 318168

GCD(982, 648) = ( 982 x 648 ) / 318168

GCD(982, 648) = 636336 / 318168

GCD(982, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 982, 648, 44, 132 is 2

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1. What is the GCD of 982, 648, 44, 132?

GCD of 982, 648, 44, 132 is 2

2. Where do I get the detailed procedure to find GCD of 982, 648, 44, 132?

You can find a detailed procedure to find GCD of 982, 648, 44, 132 on our page.

3. How to find GCD of 982, 648, 44, 132 on a calculator?

You can find the GCD of 982, 648, 44, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.