GCD of 100, 184, 358 Calculator

Given Input numbers are 100, 184, 358

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

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 100, 184, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 184, 358 is 2.

Therefore, GCD of numbers 100, 184, 358 is 2

Given Input Data is 100, 184, 358

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

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 358 is 2 x 179

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(100, 184) = 4600

GCD(100, 184) = ( 100 x 184 ) / 4600

GCD(100, 184) = 18400 / 4600

GCD(100, 184) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 358

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

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

GCD(4, 358) = 1432 / 716

GCD(4, 358) = 2

GCD of 100, 184, 358 is 2

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1. What is the GCD of 100, 184, 358?

GCD of 100, 184, 358 is 2

2. Where do I get the detailed procedure to find GCD of 100, 184, 358?

You can find a detailed procedure to find GCD of 100, 184, 358 on our page.

3. How to find GCD of 100, 184, 358 on a calculator?

You can find the GCD of 100, 184, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.