GCD of 814, 810, 982, 272 Calculator

Given Input numbers are 814, 810, 982, 272

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 814, 810, 982, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 810, 982, 272 is 2.

Therefore, GCD of numbers 814, 810, 982, 272 is 2

Given Input Data is 814, 810, 982, 272

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 982 is 2 x 491

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(814, 810) = 329670

GCD(814, 810) = ( 814 x 810 ) / 329670

GCD(814, 810) = 659340 / 329670

GCD(814, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

GCD of 814, 810, 982, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 409, 332, 960
• GCD of 689, 333, 669, 253
• GCD of 359, 541, 962, 788
• GCD of 370, 118, 409, 380
• GCD of 527, 701, 228, 990

1. What is the GCD of 814, 810, 982, 272?

GCD of 814, 810, 982, 272 is 2

2. Where do I get the detailed procedure to find GCD of 814, 810, 982, 272?

You can find a detailed procedure to find GCD of 814, 810, 982, 272 on our page.

3. How to find GCD of 814, 810, 982, 272 on a calculator?

You can find the GCD of 814, 810, 982, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.