GCD of 996, 376, 89, 936 Calculator

Given Input numbers are 996, 376, 89, 936

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 996, 376, 89, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 376, 89, 936 is 1.

Therefore, GCD of numbers 996, 376, 89, 936 is 1

Given Input Data is 996, 376, 89, 936

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 89 is 89

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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, 376) = 93624

GCD(996, 376) = ( 996 x 376 ) / 93624

GCD(996, 376) = 374496 / 93624

GCD(996, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 996, 376, 89, 936 is 1

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1. What is the GCD of 996, 376, 89, 936?

GCD of 996, 376, 89, 936 is 1

2. Where do I get the detailed procedure to find GCD of 996, 376, 89, 936?

You can find a detailed procedure to find GCD of 996, 376, 89, 936 on our page.

3. How to find GCD of 996, 376, 89, 936 on a calculator?

You can find the GCD of 996, 376, 89, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.