GCD of 412, 387, 714, 454 Calculator

Given Input numbers are 412, 387, 714, 454

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 412, 387, 714, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 387, 714, 454 is 1.

Therefore, GCD of numbers 412, 387, 714, 454 is 1

Given Input Data is 412, 387, 714, 454

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 454 is 2 x 227

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(412, 387) = 159444

GCD(412, 387) = ( 412 x 387 ) / 159444

GCD(412, 387) = 159444 / 159444

GCD(412, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 412, 387, 714, 454 is 1

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1. What is the GCD of 412, 387, 714, 454?

GCD of 412, 387, 714, 454 is 1

2. Where do I get the detailed procedure to find GCD of 412, 387, 714, 454?

You can find a detailed procedure to find GCD of 412, 387, 714, 454 on our page.

3. How to find GCD of 412, 387, 714, 454 on a calculator?

You can find the GCD of 412, 387, 714, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.