GCD of 684, 504, 992 Calculator

Given Input numbers are 684, 504, 992

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 684, 504, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 504, 992 is 4.

Therefore, GCD of numbers 684, 504, 992 is 4

Given Input Data is 684, 504, 992

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 504 is 2 x 2 x 2 x 3 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(684, 504) = 9576

GCD(684, 504) = ( 684 x 504 ) / 9576

GCD(684, 504) = 344736 / 9576

GCD(684, 504) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 992

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

LCM(36, 992) = 8928

GCD(36, 992) = ( 36 x 992 ) / 8928

GCD(36, 992) = 35712 / 8928

GCD(36, 992) = 4

GCD of 684, 504, 992 is 4

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1. What is the GCD of 684, 504, 992?

GCD of 684, 504, 992 is 4

2. Where do I get the detailed procedure to find GCD of 684, 504, 992?

You can find a detailed procedure to find GCD of 684, 504, 992 on our page.

3. How to find GCD of 684, 504, 992 on a calculator?

You can find the GCD of 684, 504, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.