GCD of 482, 178, 84, 100 Calculator

Given Input numbers are 482, 178, 84, 100

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

Divisors of 482

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

1, 2, 241, 482

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 482, 178, 84, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 178, 84, 100 is 2.

Therefore, GCD of numbers 482, 178, 84, 100 is 2

Given Input Data is 482, 178, 84, 100

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 178 is 2 x 89

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(482, 178) = 42898

GCD(482, 178) = ( 482 x 178 ) / 42898

GCD(482, 178) = 85796 / 42898

GCD(482, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 482, 178, 84, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 642, 42, 725
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• GCD of 531, 201, 11, 807
• GCD of 457, 498, 63, 420

1. What is the GCD of 482, 178, 84, 100?

GCD of 482, 178, 84, 100 is 2

2. Where do I get the detailed procedure to find GCD of 482, 178, 84, 100?

You can find a detailed procedure to find GCD of 482, 178, 84, 100 on our page.

3. How to find GCD of 482, 178, 84, 100 on a calculator?

You can find the GCD of 482, 178, 84, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.