GCD of 914, 806, 42, 790 Calculator

Given Input numbers are 914, 806, 42, 790

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 914, 806, 42, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 806, 42, 790 is 2.

Therefore, GCD of numbers 914, 806, 42, 790 is 2

Given Input Data is 914, 806, 42, 790

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 42 is 2 x 3 x 7

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(914, 806) = 368342

GCD(914, 806) = ( 914 x 806 ) / 368342

GCD(914, 806) = 736684 / 368342

GCD(914, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 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 914, 806, 42, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 797, 78, 523
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• GCD of 502, 672, 77, 493
• GCD of 815, 901, 96, 521

1. What is the GCD of 914, 806, 42, 790?

GCD of 914, 806, 42, 790 is 2

2. Where do I get the detailed procedure to find GCD of 914, 806, 42, 790?

You can find a detailed procedure to find GCD of 914, 806, 42, 790 on our page.

3. How to find GCD of 914, 806, 42, 790 on a calculator?

You can find the GCD of 914, 806, 42, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.