GCD of 524, 222, 104 Calculator

Given Input numbers are 524, 222, 104

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 524, 222, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 222, 104 is 2.

Therefore, GCD of numbers 524, 222, 104 is 2

Given Input Data is 524, 222, 104

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(524, 222) = 58164

GCD(524, 222) = ( 524 x 222 ) / 58164

GCD(524, 222) = 116328 / 58164

GCD(524, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 524, 222, 104 is 2

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1. What is the GCD of 524, 222, 104?

GCD of 524, 222, 104 is 2

2. Where do I get the detailed procedure to find GCD of 524, 222, 104?

You can find a detailed procedure to find GCD of 524, 222, 104 on our page.

3. How to find GCD of 524, 222, 104 on a calculator?

You can find the GCD of 524, 222, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.