GCD of 426, 428, 52, 106 Calculator

Given Input numbers are 426, 428, 52, 106

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 426, 428, 52, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 428, 52, 106 is 2.

Therefore, GCD of numbers 426, 428, 52, 106 is 2

Given Input Data is 426, 428, 52, 106

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 106 is 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(426, 428) = 91164

GCD(426, 428) = ( 426 x 428 ) / 91164

GCD(426, 428) = 182328 / 91164

GCD(426, 428) = 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 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 426, 428, 52, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 235, 43, 763
• GCD of 638, 186, 37, 888
• GCD of 972, 744, 96, 529
• GCD of 936, 823, 87, 822
• GCD of 750, 425, 85, 622

1. What is the GCD of 426, 428, 52, 106?

GCD of 426, 428, 52, 106 is 2

2. Where do I get the detailed procedure to find GCD of 426, 428, 52, 106?

You can find a detailed procedure to find GCD of 426, 428, 52, 106 on our page.

3. How to find GCD of 426, 428, 52, 106 on a calculator?

You can find the GCD of 426, 428, 52, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.