GCD of 992, 314, 80 Calculator

Given Input numbers are 992, 314, 80

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 314

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

1, 2, 157, 314

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Greatest Common Divisior

We found the divisors of 992, 314, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 314, 80 is 2.

Therefore, GCD of numbers 992, 314, 80 is 2

Given Input Data is 992, 314, 80

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 314 is 2 x 157

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(992, 314) = 155744

GCD(992, 314) = ( 992 x 314 ) / 155744

GCD(992, 314) = 311488 / 155744

GCD(992, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

GCD of 992, 314, 80 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 205, 58
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• GCD of 937, 859, 85
• GCD of 999, 558, 74

1. What is the GCD of 992, 314, 80?

GCD of 992, 314, 80 is 2

2. Where do I get the detailed procedure to find GCD of 992, 314, 80?

You can find a detailed procedure to find GCD of 992, 314, 80 on our page.

3. How to find GCD of 992, 314, 80 on a calculator?

You can find the GCD of 992, 314, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.