GCD of 996, 843, 177, 114 Calculator

Given Input numbers are 996, 843, 177, 114

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 996, 843, 177, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 843, 177, 114 is 3.

Therefore, GCD of numbers 996, 843, 177, 114 is 3

Given Input Data is 996, 843, 177, 114

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 843 is 3 x 281

Prime Factorization of 177 is 3 x 59

Prime Factorization of 114 is 2 x 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 843) = 279876

GCD(996, 843) = ( 996 x 843 ) / 279876

GCD(996, 843) = 839628 / 279876

GCD(996, 843) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 177

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

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

GCD(3, 177) = 531 / 177

GCD(3, 177) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

GCD of 996, 843, 177, 114 is 3

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1. What is the GCD of 996, 843, 177, 114?

GCD of 996, 843, 177, 114 is 3

2. Where do I get the detailed procedure to find GCD of 996, 843, 177, 114?

You can find a detailed procedure to find GCD of 996, 843, 177, 114 on our page.

3. How to find GCD of 996, 843, 177, 114 on a calculator?

You can find the GCD of 996, 843, 177, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.