GCD of 790, 305, 462, 416 Calculator

Given Input numbers are 790, 305, 462, 416

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 790, 305, 462, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 305, 462, 416 is 1.

Therefore, GCD of numbers 790, 305, 462, 416 is 1

Given Input Data is 790, 305, 462, 416

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 305 is 5 x 61

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(790, 305) = 48190

GCD(790, 305) = ( 790 x 305 ) / 48190

GCD(790, 305) = 240950 / 48190

GCD(790, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 462

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

LCM(5, 462) = 2310

GCD(5, 462) = ( 5 x 462 ) / 2310

GCD(5, 462) = 2310 / 2310

GCD(5, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 790, 305, 462, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 923, 967, 497
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• GCD of 376, 689, 881, 939
• GCD of 790, 760, 631, 422

1. What is the GCD of 790, 305, 462, 416?

GCD of 790, 305, 462, 416 is 1

2. Where do I get the detailed procedure to find GCD of 790, 305, 462, 416?

You can find a detailed procedure to find GCD of 790, 305, 462, 416 on our page.

3. How to find GCD of 790, 305, 462, 416 on a calculator?

You can find the GCD of 790, 305, 462, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.