GCD of 462, 324, 10, 709 Calculator

Given Input numbers are 462, 324, 10, 709

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 462, 324, 10, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 324, 10, 709 is 1.

Therefore, GCD of numbers 462, 324, 10, 709 is 1

Given Input Data is 462, 324, 10, 709

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 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 10 is 2 x 5

Prime Factorization of 709 is 709

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, 324) = 24948

GCD(462, 324) = ( 462 x 324 ) / 24948

GCD(462, 324) = 149688 / 24948

GCD(462, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

GCD of 462, 324, 10, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 501, 28, 872
• GCD of 425, 714, 27, 558
• GCD of 555, 337, 19, 749
• GCD of 154, 248, 40, 964
• GCD of 684, 873, 91, 846

1. What is the GCD of 462, 324, 10, 709?

GCD of 462, 324, 10, 709 is 1

2. Where do I get the detailed procedure to find GCD of 462, 324, 10, 709?

You can find a detailed procedure to find GCD of 462, 324, 10, 709 on our page.

3. How to find GCD of 462, 324, 10, 709 on a calculator?

You can find the GCD of 462, 324, 10, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.