GCD of 828, 168, 672, 992 Calculator

Given Input numbers are 828, 168, 672, 992

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 828, 168, 672, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 168, 672, 992 is 4.

Therefore, GCD of numbers 828, 168, 672, 992 is 4

Given Input Data is 828, 168, 672, 992

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(828, 168) = 11592

GCD(828, 168) = ( 828 x 168 ) / 11592

GCD(828, 168) = 139104 / 11592

GCD(828, 168) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 672

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

LCM(12, 672) = 672

GCD(12, 672) = ( 12 x 672 ) / 672

GCD(12, 672) = 8064 / 672

GCD(12, 672) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 992

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

LCM(12, 992) = 2976

GCD(12, 992) = ( 12 x 992 ) / 2976

GCD(12, 992) = 11904 / 2976

GCD(12, 992) = 4

GCD of 828, 168, 672, 992 is 4

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1. What is the GCD of 828, 168, 672, 992?

GCD of 828, 168, 672, 992 is 4

2. Where do I get the detailed procedure to find GCD of 828, 168, 672, 992?

You can find a detailed procedure to find GCD of 828, 168, 672, 992 on our page.

3. How to find GCD of 828, 168, 672, 992 on a calculator?

You can find the GCD of 828, 168, 672, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.