GCD of 446, 514, 721, 462 Calculator

Given Input numbers are 446, 514, 721, 462

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 446, 514, 721, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 514, 721, 462 is 1.

Therefore, GCD of numbers 446, 514, 721, 462 is 1

Given Input Data is 446, 514, 721, 462

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 514 is 2 x 257

Prime Factorization of 721 is 7 x 103

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(446, 514) = 114622

GCD(446, 514) = ( 446 x 514 ) / 114622

GCD(446, 514) = 229244 / 114622

GCD(446, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 721

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

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

GCD(2, 721) = 1442 / 1442

GCD(2, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 446, 514, 721, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 535, 283, 184
• GCD of 981, 673, 544, 264
• GCD of 669, 578, 140, 363
• GCD of 178, 736, 878, 921
• GCD of 978, 680, 870, 269

1. What is the GCD of 446, 514, 721, 462?

GCD of 446, 514, 721, 462 is 1

2. Where do I get the detailed procedure to find GCD of 446, 514, 721, 462?

You can find a detailed procedure to find GCD of 446, 514, 721, 462 on our page.

3. How to find GCD of 446, 514, 721, 462 on a calculator?

You can find the GCD of 446, 514, 721, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.