GCD of 722, 714, 270 Calculator

Given Input numbers are 722, 714, 270

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 722, 714, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 714, 270 is 2.

Therefore, GCD of numbers 722, 714, 270 is 2

Given Input Data is 722, 714, 270

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(722, 714) = 257754

GCD(722, 714) = ( 722 x 714 ) / 257754

GCD(722, 714) = 515508 / 257754

GCD(722, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 722, 714, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 306, 973
• GCD of 277, 498, 336
• GCD of 666, 465, 322
• GCD of 912, 560, 265
• GCD of 321, 226, 460

1. What is the GCD of 722, 714, 270?

GCD of 722, 714, 270 is 2

2. Where do I get the detailed procedure to find GCD of 722, 714, 270?

You can find a detailed procedure to find GCD of 722, 714, 270 on our page.

3. How to find GCD of 722, 714, 270 on a calculator?

You can find the GCD of 722, 714, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.