GCD of 992, 344, 180, 718 Calculator

Given Input numbers are 992, 344, 180, 718

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 344

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

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 992, 344, 180, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 344, 180, 718 is 2.

Therefore, GCD of numbers 992, 344, 180, 718 is 2

Given Input Data is 992, 344, 180, 718

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 718 is 2 x 359

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, 344) = 42656

GCD(992, 344) = ( 992 x 344 ) / 42656

GCD(992, 344) = 341248 / 42656

GCD(992, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 180

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

LCM(8, 180) = 360

GCD(8, 180) = ( 8 x 180 ) / 360

GCD(8, 180) = 1440 / 360

GCD(8, 180) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 718

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

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

GCD(4, 718) = 2872 / 1436

GCD(4, 718) = 2

GCD of 992, 344, 180, 718 is 2

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1. What is the GCD of 992, 344, 180, 718?

GCD of 992, 344, 180, 718 is 2

2. Where do I get the detailed procedure to find GCD of 992, 344, 180, 718?

You can find a detailed procedure to find GCD of 992, 344, 180, 718 on our page.

3. How to find GCD of 992, 344, 180, 718 on a calculator?

You can find the GCD of 992, 344, 180, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.