GCD of 428, 368, 14, 542 Calculator

Given Input numbers are 428, 368, 14, 542

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

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 428, 368, 14, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 368, 14, 542 is 2.

Therefore, GCD of numbers 428, 368, 14, 542 is 2

Given Input Data is 428, 368, 14, 542

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 14 is 2 x 7

Prime Factorization of 542 is 2 x 271

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(428, 368) = 39376

GCD(428, 368) = ( 428 x 368 ) / 39376

GCD(428, 368) = 157504 / 39376

GCD(428, 368) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 428, 368, 14, 542 is 2

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1. What is the GCD of 428, 368, 14, 542?

GCD of 428, 368, 14, 542 is 2

2. Where do I get the detailed procedure to find GCD of 428, 368, 14, 542?

You can find a detailed procedure to find GCD of 428, 368, 14, 542 on our page.

3. How to find GCD of 428, 368, 14, 542 on a calculator?

You can find the GCD of 428, 368, 14, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.