GCD of 852, 172, 994, 864 Calculator

Given Input numbers are 852, 172, 994, 864

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 852, 172, 994, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 172, 994, 864 is 2.

Therefore, GCD of numbers 852, 172, 994, 864 is 2

Given Input Data is 852, 172, 994, 864

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 994 is 2 x 7 x 71

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 852, 172, 994, 864 is 2

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1. What is the GCD of 852, 172, 994, 864?

GCD of 852, 172, 994, 864 is 2

2. Where do I get the detailed procedure to find GCD of 852, 172, 994, 864?

You can find a detailed procedure to find GCD of 852, 172, 994, 864 on our page.

3. How to find GCD of 852, 172, 994, 864 on a calculator?

You can find the GCD of 852, 172, 994, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.