GCD of 920, 758, 409 Calculator

Given Input numbers are 920, 758, 409

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 920, 758, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 758, 409 is 1.

Therefore, GCD of numbers 920, 758, 409 is 1

Given Input Data is 920, 758, 409

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 758 is 2 x 379

Prime Factorization of 409 is 409

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, 758) = 348680

GCD(920, 758) = ( 920 x 758 ) / 348680

GCD(920, 758) = 697360 / 348680

GCD(920, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 920, 758, 409 is 1

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• GCD of 259, 886, 382
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1. What is the GCD of 920, 758, 409?

GCD of 920, 758, 409 is 1

2. Where do I get the detailed procedure to find GCD of 920, 758, 409?

You can find a detailed procedure to find GCD of 920, 758, 409 on our page.

3. How to find GCD of 920, 758, 409 on a calculator?

You can find the GCD of 920, 758, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.