GCD of 772, 355, 414 Calculator

Given Input numbers are 772, 355, 414

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 772, 355, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 355, 414 is 1.

Therefore, GCD of numbers 772, 355, 414 is 1

Given Input Data is 772, 355, 414

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 355 is 5 x 71

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(772, 355) = 274060

GCD(772, 355) = ( 772 x 355 ) / 274060

GCD(772, 355) = 274060 / 274060

GCD(772, 355) = 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 772, 355, 414 is 1

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1. What is the GCD of 772, 355, 414?

GCD of 772, 355, 414 is 1

2. Where do I get the detailed procedure to find GCD of 772, 355, 414?

You can find a detailed procedure to find GCD of 772, 355, 414 on our page.

3. How to find GCD of 772, 355, 414 on a calculator?

You can find the GCD of 772, 355, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.