GCD of 314, 396, 350, 624 Calculator

Given Input numbers are 314, 396, 350, 624

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 314, 396, 350, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 396, 350, 624 is 2.

Therefore, GCD of numbers 314, 396, 350, 624 is 2

Given Input Data is 314, 396, 350, 624

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(314, 396) = 62172

GCD(314, 396) = ( 314 x 396 ) / 62172

GCD(314, 396) = 124344 / 62172

GCD(314, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 314, 396, 350, 624 is 2

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1. What is the GCD of 314, 396, 350, 624?

GCD of 314, 396, 350, 624 is 2

2. Where do I get the detailed procedure to find GCD of 314, 396, 350, 624?

You can find a detailed procedure to find GCD of 314, 396, 350, 624 on our page.

3. How to find GCD of 314, 396, 350, 624 on a calculator?

You can find the GCD of 314, 396, 350, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.