GCD of 992, 856, 588 Calculator

Given Input numbers are 992, 856, 588

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

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 992, 856, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 856, 588 is 4.

Therefore, GCD of numbers 992, 856, 588 is 4

Given Input Data is 992, 856, 588

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

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(992, 856) = 106144

GCD(992, 856) = ( 992 x 856 ) / 106144

GCD(992, 856) = 849152 / 106144

GCD(992, 856) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 588

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

LCM(8, 588) = 1176

GCD(8, 588) = ( 8 x 588 ) / 1176

GCD(8, 588) = 4704 / 1176

GCD(8, 588) = 4

GCD of 992, 856, 588 is 4

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1. What is the GCD of 992, 856, 588?

GCD of 992, 856, 588 is 4

2. Where do I get the detailed procedure to find GCD of 992, 856, 588?

You can find a detailed procedure to find GCD of 992, 856, 588 on our page.

3. How to find GCD of 992, 856, 588 on a calculator?

You can find the GCD of 992, 856, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.