GCD of 996, 375, 34, 993 Calculator

Given Input numbers are 996, 375, 34, 993

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 996, 375, 34, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 375, 34, 993 is 1.

Therefore, GCD of numbers 996, 375, 34, 993 is 1

Given Input Data is 996, 375, 34, 993

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 993 is 3 x 331

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, 375) = 124500

GCD(996, 375) = ( 996 x 375 ) / 124500

GCD(996, 375) = 373500 / 124500

GCD(996, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 996, 375, 34, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 670, 89, 593
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• GCD of 551, 127, 43, 161

1. What is the GCD of 996, 375, 34, 993?

GCD of 996, 375, 34, 993 is 1

2. Where do I get the detailed procedure to find GCD of 996, 375, 34, 993?

You can find a detailed procedure to find GCD of 996, 375, 34, 993 on our page.

3. How to find GCD of 996, 375, 34, 993 on a calculator?

You can find the GCD of 996, 375, 34, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.