GCD of 920, 605, 77, 806 Calculator

Given Input numbers are 920, 605, 77, 806

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 806

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

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

Greatest Common Divisior

We found the divisors of 920, 605, 77, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 605, 77, 806 is 1.

Therefore, GCD of numbers 920, 605, 77, 806 is 1

Given Input Data is 920, 605, 77, 806

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 806 is 2 x 13 x 31

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(920, 605) = 111320

GCD(920, 605) = ( 920 x 605 ) / 111320

GCD(920, 605) = 556600 / 111320

GCD(920, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 77

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

LCM(5, 77) = 385

GCD(5, 77) = ( 5 x 77 ) / 385

GCD(5, 77) = 385 / 385

GCD(5, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 920, 605, 77, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 831, 51, 689
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1. What is the GCD of 920, 605, 77, 806?

GCD of 920, 605, 77, 806 is 1

2. Where do I get the detailed procedure to find GCD of 920, 605, 77, 806?

You can find a detailed procedure to find GCD of 920, 605, 77, 806 on our page.

3. How to find GCD of 920, 605, 77, 806 on a calculator?

You can find the GCD of 920, 605, 77, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.