GCD of 996, 172, 895 Calculator

Given Input numbers are 996, 172, 895

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 996, 172, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 172, 895 is 1.

Therefore, GCD of numbers 996, 172, 895 is 1

Given Input Data is 996, 172, 895

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 172 is 2 x 2 x 43

Prime Factorization of 895 is 5 x 179

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, 172) = 42828

GCD(996, 172) = ( 996 x 172 ) / 42828

GCD(996, 172) = 171312 / 42828

GCD(996, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 895

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

LCM(4, 895) = 3580

GCD(4, 895) = ( 4 x 895 ) / 3580

GCD(4, 895) = 3580 / 3580

GCD(4, 895) = 1

GCD of 996, 172, 895 is 1

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1. What is the GCD of 996, 172, 895?

GCD of 996, 172, 895 is 1

2. Where do I get the detailed procedure to find GCD of 996, 172, 895?

You can find a detailed procedure to find GCD of 996, 172, 895 on our page.

3. How to find GCD of 996, 172, 895 on a calculator?

You can find the GCD of 996, 172, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.