GCD of 482, 704, 842, 790 Calculator

Given Input numbers are 482, 704, 842, 790

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 482, 704, 842, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 704, 842, 790 is 2.

Therefore, GCD of numbers 482, 704, 842, 790 is 2

Given Input Data is 482, 704, 842, 790

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 842 is 2 x 421

Prime Factorization of 790 is 2 x 5 x 79

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(482, 704) = 169664

GCD(482, 704) = ( 482 x 704 ) / 169664

GCD(482, 704) = 339328 / 169664

GCD(482, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 482, 704, 842, 790 is 2

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1. What is the GCD of 482, 704, 842, 790?

GCD of 482, 704, 842, 790 is 2

2. Where do I get the detailed procedure to find GCD of 482, 704, 842, 790?

You can find a detailed procedure to find GCD of 482, 704, 842, 790 on our page.

3. How to find GCD of 482, 704, 842, 790 on a calculator?

You can find the GCD of 482, 704, 842, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.