GCD of 322, 510, 712, 706 Calculator

Given Input numbers are 322, 510, 712, 706

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 322, 510, 712, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 510, 712, 706 is 2.

Therefore, GCD of numbers 322, 510, 712, 706 is 2

Given Input Data is 322, 510, 712, 706

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 706 is 2 x 353

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(322, 510) = 82110

GCD(322, 510) = ( 322 x 510 ) / 82110

GCD(322, 510) = 164220 / 82110

GCD(322, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 322, 510, 712, 706 is 2

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1. What is the GCD of 322, 510, 712, 706?

GCD of 322, 510, 712, 706 is 2

2. Where do I get the detailed procedure to find GCD of 322, 510, 712, 706?

You can find a detailed procedure to find GCD of 322, 510, 712, 706 on our page.

3. How to find GCD of 322, 510, 712, 706 on a calculator?

You can find the GCD of 322, 510, 712, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.