GCD of 400, 588, 276, 482 Calculator

Given Input numbers are 400, 588, 276, 482

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 400, 588, 276, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 588, 276, 482 is 2.

Therefore, GCD of numbers 400, 588, 276, 482 is 2

Given Input Data is 400, 588, 276, 482

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 482 is 2 x 241

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, 588) = 58800

GCD(400, 588) = ( 400 x 588 ) / 58800

GCD(400, 588) = 235200 / 58800

GCD(400, 588) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 276

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

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

GCD(4, 276) = 1104 / 276

GCD(4, 276) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 482

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

LCM(4, 482) = 964

GCD(4, 482) = ( 4 x 482 ) / 964

GCD(4, 482) = 1928 / 964

GCD(4, 482) = 2

GCD of 400, 588, 276, 482 is 2

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• GCD of 746, 652, 426, 479
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1. What is the GCD of 400, 588, 276, 482?

GCD of 400, 588, 276, 482 is 2

2. Where do I get the detailed procedure to find GCD of 400, 588, 276, 482?

You can find a detailed procedure to find GCD of 400, 588, 276, 482 on our page.

3. How to find GCD of 400, 588, 276, 482 on a calculator?

You can find the GCD of 400, 588, 276, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.