GCD of 814, 400, 65, 514 Calculator

Given Input numbers are 814, 400, 65, 514

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 814, 400, 65, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 400, 65, 514 is 1.

Therefore, GCD of numbers 814, 400, 65, 514 is 1

Given Input Data is 814, 400, 65, 514

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 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 514 is 2 x 257

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(814, 400) = 162800

GCD(814, 400) = ( 814 x 400 ) / 162800

GCD(814, 400) = 325600 / 162800

GCD(814, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 814, 400, 65, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 549, 52, 650
• GCD of 360, 117, 19, 957
• GCD of 627, 416, 61, 981
• GCD of 861, 579, 82, 638
• GCD of 435, 763, 63, 345

1. What is the GCD of 814, 400, 65, 514?

GCD of 814, 400, 65, 514 is 1

2. Where do I get the detailed procedure to find GCD of 814, 400, 65, 514?

You can find a detailed procedure to find GCD of 814, 400, 65, 514 on our page.

3. How to find GCD of 814, 400, 65, 514 on a calculator?

You can find the GCD of 814, 400, 65, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.