GCD of 790, 814, 974, 482 Calculator

Given Input numbers are 790, 814, 974, 482

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

Divisors of 790

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

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 482

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

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 790, 814, 974, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 814, 974, 482 is 2.

Therefore, GCD of numbers 790, 814, 974, 482 is 2

Given Input Data is 790, 814, 974, 482

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 974 is 2 x 487

Prime Factorization of 482 is 2 x 241

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(790, 814) = 321530

GCD(790, 814) = ( 790 x 814 ) / 321530

GCD(790, 814) = 643060 / 321530

GCD(790, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 482

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

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

GCD(2, 482) = 964 / 482

GCD(2, 482) = 2

GCD of 790, 814, 974, 482 is 2

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1. What is the GCD of 790, 814, 974, 482?

GCD of 790, 814, 974, 482 is 2

2. Where do I get the detailed procedure to find GCD of 790, 814, 974, 482?

You can find a detailed procedure to find GCD of 790, 814, 974, 482 on our page.

3. How to find GCD of 790, 814, 974, 482 on a calculator?

You can find the GCD of 790, 814, 974, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.