GCD of 852, 172, 320, 996 Calculator

Given Input numbers are 852, 172, 320, 996

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

Greatest Common Divisior

We found the divisors of 852, 172, 320, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 172, 320, 996 is 4.

Therefore, GCD of numbers 852, 172, 320, 996 is 4

Given Input Data is 852, 172, 320, 996

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(852, 172) = 36636

GCD(852, 172) = ( 852 x 172 ) / 36636

GCD(852, 172) = 146544 / 36636

GCD(852, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 320

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

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

GCD(4, 320) = 1280 / 320

GCD(4, 320) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 996

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

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

GCD(4, 996) = 3984 / 996

GCD(4, 996) = 4

GCD of 852, 172, 320, 996 is 4

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1. What is the GCD of 852, 172, 320, 996?

GCD of 852, 172, 320, 996 is 4

2. Where do I get the detailed procedure to find GCD of 852, 172, 320, 996?

You can find a detailed procedure to find GCD of 852, 172, 320, 996 on our page.

3. How to find GCD of 852, 172, 320, 996 on a calculator?

You can find the GCD of 852, 172, 320, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.