GCD of 462, 303, 31, 347 Calculator

Given Input numbers are 462, 303, 31, 347

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

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 462, 303, 31, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 303, 31, 347 is 1.

Therefore, GCD of numbers 462, 303, 31, 347 is 1

Given Input Data is 462, 303, 31, 347

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

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 31 is 31

Prime Factorization of 347 is 347

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(462, 303) = 46662

GCD(462, 303) = ( 462 x 303 ) / 46662

GCD(462, 303) = 139986 / 46662

GCD(462, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 462, 303, 31, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 685, 87, 101
• GCD of 541, 870, 24, 959
• GCD of 642, 416, 93, 581
• GCD of 496, 513, 28, 513
• GCD of 762, 470, 78, 259

1. What is the GCD of 462, 303, 31, 347?

GCD of 462, 303, 31, 347 is 1

2. Where do I get the detailed procedure to find GCD of 462, 303, 31, 347?

You can find a detailed procedure to find GCD of 462, 303, 31, 347 on our page.

3. How to find GCD of 462, 303, 31, 347 on a calculator?

You can find the GCD of 462, 303, 31, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.