GCD of 992, 704, 593, 498 Calculator

Given Input numbers are 992, 704, 593, 498

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 992, 704, 593, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 704, 593, 498 is 1.

Therefore, GCD of numbers 992, 704, 593, 498 is 1

Given Input Data is 992, 704, 593, 498

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 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 593 is 593

Prime Factorization of 498 is 2 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

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, 704) = 21824

GCD(992, 704) = ( 992 x 704 ) / 21824

GCD(992, 704) = 698368 / 21824

GCD(992, 704) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 593

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

LCM(32, 593) = 18976

GCD(32, 593) = ( 32 x 593 ) / 18976

GCD(32, 593) = 18976 / 18976

GCD(32, 593) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 992, 704, 593, 498 is 1

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1. What is the GCD of 992, 704, 593, 498?

GCD of 992, 704, 593, 498 is 1

2. Where do I get the detailed procedure to find GCD of 992, 704, 593, 498?

You can find a detailed procedure to find GCD of 992, 704, 593, 498 on our page.

3. How to find GCD of 992, 704, 593, 498 on a calculator?

You can find the GCD of 992, 704, 593, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.