GCD of 712, 578, 604, 496 Calculator

Given Input numbers are 712, 578, 604, 496

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Greatest Common Divisior

We found the divisors of 712, 578, 604, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 578, 604, 496 is 2.

Therefore, GCD of numbers 712, 578, 604, 496 is 2

Given Input Data is 712, 578, 604, 496

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(712, 578) = 205768

GCD(712, 578) = ( 712 x 578 ) / 205768

GCD(712, 578) = 411536 / 205768

GCD(712, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 712, 578, 604, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 170, 581, 970
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• GCD of 230, 121, 506, 168
• GCD of 559, 930, 856, 716

1. What is the GCD of 712, 578, 604, 496?

GCD of 712, 578, 604, 496 is 2

2. Where do I get the detailed procedure to find GCD of 712, 578, 604, 496?

You can find a detailed procedure to find GCD of 712, 578, 604, 496 on our page.

3. How to find GCD of 712, 578, 604, 496 on a calculator?

You can find the GCD of 712, 578, 604, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.