GCD of 314, 714, 344, 922 Calculator

Given Input numbers are 314, 714, 344, 922

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 314, 714, 344, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 714, 344, 922 is 2.

Therefore, GCD of numbers 314, 714, 344, 922 is 2

Given Input Data is 314, 714, 344, 922

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 922 is 2 x 461

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, 714) = 112098

GCD(314, 714) = ( 314 x 714 ) / 112098

GCD(314, 714) = 224196 / 112098

GCD(314, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 922

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

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

GCD(2, 922) = 1844 / 922

GCD(2, 922) = 2

GCD of 314, 714, 344, 922 is 2

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1. What is the GCD of 314, 714, 344, 922?

GCD of 314, 714, 344, 922 is 2

2. Where do I get the detailed procedure to find GCD of 314, 714, 344, 922?

You can find a detailed procedure to find GCD of 314, 714, 344, 922 on our page.

3. How to find GCD of 314, 714, 344, 922 on a calculator?

You can find the GCD of 314, 714, 344, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.