GCD of 496, 992, 778, 839 Calculator

Given Input numbers are 496, 992, 778, 839

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

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

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 496, 992, 778, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 992, 778, 839 is 1.

Therefore, GCD of numbers 496, 992, 778, 839 is 1

Given Input Data is 496, 992, 778, 839

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

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

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 839 is 839

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(496, 992) = 992

GCD(496, 992) = ( 496 x 992 ) / 992

GCD(496, 992) = 492032 / 992

GCD(496, 992) = 496

Step2:

Here we consider the GCD from the above i.e. 496 as first number and the next as 778

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

LCM(496, 778) = 192944

GCD(496, 778) = ( 496 x 778 ) / 192944

GCD(496, 778) = 385888 / 192944

GCD(496, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 839

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

LCM(2, 839) = 1678

GCD(2, 839) = ( 2 x 839 ) / 1678

GCD(2, 839) = 1678 / 1678

GCD(2, 839) = 1

GCD of 496, 992, 778, 839 is 1

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1. What is the GCD of 496, 992, 778, 839?

GCD of 496, 992, 778, 839 is 1

2. Where do I get the detailed procedure to find GCD of 496, 992, 778, 839?

You can find a detailed procedure to find GCD of 496, 992, 778, 839 on our page.

3. How to find GCD of 496, 992, 778, 839 on a calculator?

You can find the GCD of 496, 992, 778, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.