GCD of 414, 373, 772, 522 Calculator

Given Input numbers are 414, 373, 772, 522

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

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

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 414, 373, 772, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 373, 772, 522 is 1.

Therefore, GCD of numbers 414, 373, 772, 522 is 1

Given Input Data is 414, 373, 772, 522

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

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

Prime Factorization of 373 is 373

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(414, 373) = 154422

GCD(414, 373) = ( 414 x 373 ) / 154422

GCD(414, 373) = 154422 / 154422

GCD(414, 373) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 414, 373, 772, 522 is 1

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1. What is the GCD of 414, 373, 772, 522?

GCD of 414, 373, 772, 522 is 1

2. Where do I get the detailed procedure to find GCD of 414, 373, 772, 522?

You can find a detailed procedure to find GCD of 414, 373, 772, 522 on our page.

3. How to find GCD of 414, 373, 772, 522 on a calculator?

You can find the GCD of 414, 373, 772, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.