GCD of 126, 424, 56, 314 Calculator

Given Input numbers are 126, 424, 56, 314

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 126, 424, 56, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 424, 56, 314 is 2.

Therefore, GCD of numbers 126, 424, 56, 314 is 2

Given Input Data is 126, 424, 56, 314

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 314 is 2 x 157

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(126, 424) = 26712

GCD(126, 424) = ( 126 x 424 ) / 26712

GCD(126, 424) = 53424 / 26712

GCD(126, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 126, 424, 56, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 777, 66, 983
• GCD of 244, 316, 37, 328
• GCD of 131, 900, 37, 908
• GCD of 295, 347, 36, 386
• GCD of 223, 984, 55, 603

1. What is the GCD of 126, 424, 56, 314?

GCD of 126, 424, 56, 314 is 2

2. Where do I get the detailed procedure to find GCD of 126, 424, 56, 314?

You can find a detailed procedure to find GCD of 126, 424, 56, 314 on our page.

3. How to find GCD of 126, 424, 56, 314 on a calculator?

You can find the GCD of 126, 424, 56, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.