GCD of 284, 212, 42, 732 Calculator

Given Input numbers are 284, 212, 42, 732

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 284, 212, 42, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 212, 42, 732 is 2.

Therefore, GCD of numbers 284, 212, 42, 732 is 2

Given Input Data is 284, 212, 42, 732

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(284, 212) = 15052

GCD(284, 212) = ( 284 x 212 ) / 15052

GCD(284, 212) = 60208 / 15052

GCD(284, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 284, 212, 42, 732 is 2

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1. What is the GCD of 284, 212, 42, 732?

GCD of 284, 212, 42, 732 is 2

2. Where do I get the detailed procedure to find GCD of 284, 212, 42, 732?

You can find a detailed procedure to find GCD of 284, 212, 42, 732 on our page.

3. How to find GCD of 284, 212, 42, 732 on a calculator?

You can find the GCD of 284, 212, 42, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.