GCD of 468, 314, 722, 515 Calculator

Given Input numbers are 468, 314, 722, 515

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 468, 314, 722, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 314, 722, 515 is 1.

Therefore, GCD of numbers 468, 314, 722, 515 is 1

Given Input Data is 468, 314, 722, 515

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 314 is 2 x 157

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 515 is 5 x 103

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(468, 314) = 73476

GCD(468, 314) = ( 468 x 314 ) / 73476

GCD(468, 314) = 146952 / 73476

GCD(468, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 515

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

LCM(2, 515) = 1030

GCD(2, 515) = ( 2 x 515 ) / 1030

GCD(2, 515) = 1030 / 1030

GCD(2, 515) = 1

GCD of 468, 314, 722, 515 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 532, 245, 760
• GCD of 746, 853, 250, 441
• GCD of 945, 347, 200, 840
• GCD of 515, 399, 652, 193
• GCD of 104, 666, 620, 433

1. What is the GCD of 468, 314, 722, 515?

GCD of 468, 314, 722, 515 is 1

2. Where do I get the detailed procedure to find GCD of 468, 314, 722, 515?

You can find a detailed procedure to find GCD of 468, 314, 722, 515 on our page.

3. How to find GCD of 468, 314, 722, 515 on a calculator?

You can find the GCD of 468, 314, 722, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.