GCD of 996, 314, 24, 787 Calculator

Given Input numbers are 996, 314, 24, 787

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 314

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

1, 2, 157, 314

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 996, 314, 24, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 314, 24, 787 is 1.

Therefore, GCD of numbers 996, 314, 24, 787 is 1

Given Input Data is 996, 314, 24, 787

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 314 is 2 x 157

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 787 is 787

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, 314) = 156372

GCD(996, 314) = ( 996 x 314 ) / 156372

GCD(996, 314) = 312744 / 156372

GCD(996, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 787

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

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

GCD(2, 787) = 1574 / 1574

GCD(2, 787) = 1

GCD of 996, 314, 24, 787 is 1

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• GCD of 156, 446, 98, 742
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1. What is the GCD of 996, 314, 24, 787?

GCD of 996, 314, 24, 787 is 1

2. Where do I get the detailed procedure to find GCD of 996, 314, 24, 787?

You can find a detailed procedure to find GCD of 996, 314, 24, 787 on our page.

3. How to find GCD of 996, 314, 24, 787 on a calculator?

You can find the GCD of 996, 314, 24, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.