GCD of 784, 106, 52, 212 Calculator

Given Input numbers are 784, 106, 52, 212

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 784, 106, 52, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 106, 52, 212 is 2.

Therefore, GCD of numbers 784, 106, 52, 212 is 2

Given Input Data is 784, 106, 52, 212

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 106 is 2 x 53

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 212 is 2 x 2 x 53

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(784, 106) = 41552

GCD(784, 106) = ( 784 x 106 ) / 41552

GCD(784, 106) = 83104 / 41552

GCD(784, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 784, 106, 52, 212 is 2

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1. What is the GCD of 784, 106, 52, 212?

GCD of 784, 106, 52, 212 is 2

2. Where do I get the detailed procedure to find GCD of 784, 106, 52, 212?

You can find a detailed procedure to find GCD of 784, 106, 52, 212 on our page.

3. How to find GCD of 784, 106, 52, 212 on a calculator?

You can find the GCD of 784, 106, 52, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.