GCD of 775, 797, 414 Calculator

Given Input numbers are 775, 797, 414

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 775, 797, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 797, 414 is 1.

Therefore, GCD of numbers 775, 797, 414 is 1

Given Input Data is 775, 797, 414

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 797 is 797

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(775, 797) = 617675

GCD(775, 797) = ( 775 x 797 ) / 617675

GCD(775, 797) = 617675 / 617675

GCD(775, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 775, 797, 414 is 1

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1. What is the GCD of 775, 797, 414?

GCD of 775, 797, 414 is 1

2. Where do I get the detailed procedure to find GCD of 775, 797, 414?

You can find a detailed procedure to find GCD of 775, 797, 414 on our page.

3. How to find GCD of 775, 797, 414 on a calculator?

You can find the GCD of 775, 797, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.