GCD of 314, 364, 266, 996 Calculator

Given Input numbers are 314, 364, 266, 996

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 314, 364, 266, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 364, 266, 996 is 2.

Therefore, GCD of numbers 314, 364, 266, 996 is 2

Given Input Data is 314, 364, 266, 996

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 364) = 57148

GCD(314, 364) = ( 314 x 364 ) / 57148

GCD(314, 364) = 114296 / 57148

GCD(314, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 314, 364, 266, 996 is 2

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1. What is the GCD of 314, 364, 266, 996?

GCD of 314, 364, 266, 996 is 2

2. Where do I get the detailed procedure to find GCD of 314, 364, 266, 996?

You can find a detailed procedure to find GCD of 314, 364, 266, 996 on our page.

3. How to find GCD of 314, 364, 266, 996 on a calculator?

You can find the GCD of 314, 364, 266, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.