GCD of 296, 992, 280 Calculator

Given Input numbers are 296, 992, 280

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 296, 992, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 992, 280 is 8.

Therefore, GCD of numbers 296, 992, 280 is 8

Given Input Data is 296, 992, 280

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(296, 992) = 36704

GCD(296, 992) = ( 296 x 992 ) / 36704

GCD(296, 992) = 293632 / 36704

GCD(296, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 280

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

LCM(8, 280) = 280

GCD(8, 280) = ( 8 x 280 ) / 280

GCD(8, 280) = 2240 / 280

GCD(8, 280) = 8

GCD of 296, 992, 280 is 8

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1. What is the GCD of 296, 992, 280?

GCD of 296, 992, 280 is 8

2. Where do I get the detailed procedure to find GCD of 296, 992, 280?

You can find a detailed procedure to find GCD of 296, 992, 280 on our page.

3. How to find GCD of 296, 992, 280 on a calculator?

You can find the GCD of 296, 992, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.