GCD of 996, 677, 314 Calculator

Given Input numbers are 996, 677, 314

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

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

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 996, 677, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 677, 314 is 1.

Therefore, GCD of numbers 996, 677, 314 is 1

Given Input Data is 996, 677, 314

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

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

Prime Factorization of 677 is 677

Prime Factorization of 314 is 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

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(996, 677) = 674292

GCD(996, 677) = ( 996 x 677 ) / 674292

GCD(996, 677) = 674292 / 674292

GCD(996, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 996, 677, 314 is 1

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• GCD of 240, 840, 263
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1. What is the GCD of 996, 677, 314?

GCD of 996, 677, 314 is 1

2. Where do I get the detailed procedure to find GCD of 996, 677, 314?

You can find a detailed procedure to find GCD of 996, 677, 314 on our page.

3. How to find GCD of 996, 677, 314 on a calculator?

You can find the GCD of 996, 677, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.