GCD of 400, 132, 40, 982 Calculator

Given Input numbers are 400, 132, 40, 982

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 400, 132, 40, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 132, 40, 982 is 2.

Therefore, GCD of numbers 400, 132, 40, 982 is 2

Given Input Data is 400, 132, 40, 982

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 982 is 2 x 491

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(400, 132) = 13200

GCD(400, 132) = ( 400 x 132 ) / 13200

GCD(400, 132) = 52800 / 13200

GCD(400, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 982

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

LCM(4, 982) = 1964

GCD(4, 982) = ( 4 x 982 ) / 1964

GCD(4, 982) = 3928 / 1964

GCD(4, 982) = 2

GCD of 400, 132, 40, 982 is 2

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• GCD of 427, 878, 95, 440
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• GCD of 708, 987, 12, 177

1. What is the GCD of 400, 132, 40, 982?

GCD of 400, 132, 40, 982 is 2

2. Where do I get the detailed procedure to find GCD of 400, 132, 40, 982?

You can find a detailed procedure to find GCD of 400, 132, 40, 982 on our page.

3. How to find GCD of 400, 132, 40, 982 on a calculator?

You can find the GCD of 400, 132, 40, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.