GCD of 996, 350, 23, 772 Calculator

Given Input numbers are 996, 350, 23, 772

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 996, 350, 23, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 350, 23, 772 is 1.

Therefore, GCD of numbers 996, 350, 23, 772 is 1

Given Input Data is 996, 350, 23, 772

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 350 is 2 x 5 x 5 x 7

Prime Factorization of 23 is 23

Prime Factorization of 772 is 2 x 2 x 193

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, 350) = 174300

GCD(996, 350) = ( 996 x 350 ) / 174300

GCD(996, 350) = 348600 / 174300

GCD(996, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 996, 350, 23, 772 is 1

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1. What is the GCD of 996, 350, 23, 772?

GCD of 996, 350, 23, 772 is 1

2. Where do I get the detailed procedure to find GCD of 996, 350, 23, 772?

You can find a detailed procedure to find GCD of 996, 350, 23, 772 on our page.

3. How to find GCD of 996, 350, 23, 772 on a calculator?

You can find the GCD of 996, 350, 23, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.